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531305132354000 = 24537323315618353
BaseRepresentation
bin111100011001110000001110…
…1101011100110100111010000
32120200012021102012001110020222
41320303200131223212213100
51024114400402340312000
65121554112552452212
7216624346321456634
oct17063403553464720
92520167365043228
10531305132354000
11144321272132594
124b70a5b19aa068
1319a5cb222ba014
14952b43c866dc4
1541656ebe99a85
hex1e3381dae69d0

531305132354000 has 160 divisors (see below), whose sum is σ = 1307883712790304. Its totient is φ = 208711161446400.

The previous prime is 531305132353997. The next prime is 531305132354039. The reversal of 531305132354000 is 453231503135.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 237517167974464 + 293787964379536 = 15411592^2 + 17140244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26208824 + ... + 41827176.

Almost surely, 2531305132354000 is an apocalyptic number.

531305132354000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531305132354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653941856395152).

531305132354000 is an abundant number, since it is smaller than the sum of its proper divisors (776578580436304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531305132354000 is a wasteful number, since it uses less digits than its factorization.

531305132354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618682 (or 15618666 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

Adding to 531305132354000 its reverse (453231503135), we get a palindrome (531758363857135).

The spelling of 531305132354000 in words is "five hundred thirty-one trillion, three hundred five billion, one hundred thirty-two million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 233 250 292 365 400 466 500 584 730 932 1000 1165 1168 1460 1825 1864 2000 2330 2920 3650 3728 4660 5825 5840 7300 9125 9320 11650 14600 17009 18250 18640 23300 29125 29200 34018 36500 46600 58250 68036 73000 85045 93200 116500 136072 146000 170090 233000 272144 340180 425225 466000 680360 850450 1360720 1700900 2126125 3401800 4252250 6803600 8504500 15618353 17009000 31236706 34018000 62473412 78091765 124946824 156183530 249893648 312367060 390458825 624734120 780917650 1140139769 1249468240 1561835300 1952294125 2280279538 3123670600 3639076249 3904588250 4560559076 5700698845 6247341200 7278152498 7809176500 9121118152 11401397690 14556304996 15618353000 18195381245 18242236304 22802795380 28503494225 29112609992 31236706000 36390762490 45605590760 57006988450 58225219984 72781524980 90976906225 91211181520 114013976900 142517471125 145563049960 181953812450 228027953800 265652566177 285034942250 291126099920 363907624900 454884531125 456055907600 531305132354 570069884500 727815249800 909769062250 1062610264708 1140139769000 1328262830885 1455630499600 1819538124500 2125220529416 2280279538000 2656525661770 3639076249000 4250441058832 5313051323540 6641314154425 7278152498000 10626102647080 13282628308850 21252205294160 26565256617700 33206570772125 53130513235400 66413141544250 106261026470800 132826283088500 265652566177000 531305132354000