Search a number
-
+
542533001300 = 225213762636323
BaseRepresentation
bin1111110010100010111…
…11001010000001010100
31220212101001120001021222
413321101133022001110
532342101422020200
61053123005025512
754124321264523
oct7712137120124
91825331501258
10542533001300
1119a0a580a944
1289191255298
133c211c15874
141c389d924ba
15e1a4bb3d85
hex7e517ca054

542533001300 has 72 divisors (see below), whose sum is σ = 1186266949056. Its totient is φ = 215360700160.

The previous prime is 542533001299. The next prime is 542533001317. The reversal of 542533001300 is 3100335245.

It is a self number, because there is not a number n which added to its sum of digits gives 542533001300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85799939 + ... + 85806261.

It is an arithmetic number, because the mean of its divisors is an integer number (16475929848).

Almost surely, 2542533001300 is an apocalyptic number.

542533001300 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 542533001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593133474528).

542533001300 is an abundant number, since it is smaller than the sum of its proper divisors (643733947756).

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

542533001300 is a wasteful number, since it uses less digits than its factorization.

542533001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12737 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 542533001300 its reverse (3100335245), we get a palindrome (545633336545).

The spelling of 542533001300 in words is "five hundred forty-two billion, five hundred thirty-three million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6263 6323 6850 12526 12646 13700 25052 25292 31315 31615 62630 63230 125260 126460 156575 158075 313150 316150 626300 632300 858031 866251 1716062 1732502 3432124 3465004 4290155 4331255 8580310 8662510 17160620 17325020 21450775 21656275 39600949 42901550 43312550 79201898 85803100 86625100 158403796 198004745 396009490 792018980 990023725 1980047450 3960094900 5425330013 10850660026 21701320052 27126650065 54253300130 108506600260 135633250325 271266500650 542533001300