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129711045780 = 2232537101192833
BaseRepresentation
bin111100011001101100…
…0010111110010010100
3110101210210012211221200
41320303120113302110
54111122011431110
6135331033512500
712241234461141
oct1706330276224
9411723184850
10129711045780
115001255a598
122117bb72730
13c3020735c4
1463c6d6d3c8
1535927d76c0
hex1e33617c94

129711045780 has 144 divisors (see below), whose sum is σ = 408093822864. Its totient is φ = 33321369600.

The previous prime is 129711045757. The next prime is 129711045791. The reversal of 129711045780 is 87540117921.

It is a happy number.

129711045780 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 110 + 457 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 546998544 + 129164047236 = 23388^2 + 359394^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 576244 + ... + 769076.

It is an arithmetic number, because the mean of its divisors is an integer number (2833984881).

Almost surely, 2129711045780 is an apocalyptic number.

129711045780 is a gapful number since it is divisible by the number (10) 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 129711045780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204046911432).

129711045780 is an abundant number, since it is smaller than the sum of its proper divisors (278382777084).

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

129711045780 is a wasteful number, since it uses less digits than its factorization.

129711045780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192986 (or 192981 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 129711045780 in words is "one hundred twenty-nine billion, seven hundred eleven million, forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 101 111 148 180 185 202 222 303 333 370 404 444 505 555 606 666 740 909 1010 1110 1212 1332 1515 1665 1818 2020 2220 3030 3330 3636 3737 4545 6060 6660 7474 9090 11211 14948 18180 18685 22422 33633 37370 44844 56055 67266 74740 112110 134532 168165 192833 224220 336330 385666 578499 672660 771332 964165 1156998 1735497 1928330 2313996 2892495 3470994 3856660 5784990 6941988 7134821 8677485 11569980 14269642 17354970 19476133 21404463 28539284 34709940 35674105 38952266 42808926 58428399 64213389 71348210 77904532 85617852 97380665 107022315 116856798 128426778 142696420 175285197 194761330 214044630 233713596 256853556 292141995 321066945 350570394 389522660 428089260 584283990 642133890 701140788 720616921 876425985 1168567980 1284267780 1441233842 1752851970 2161850763 2882467684 3505703940 3603084605 4323701526 6485552289 7206169210 8647403052 10809253815 12971104578 14412338420 21618507630 25942209156 32427761445 43237015260 64855522890 129711045780