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59392944100 = 22527212121009
BaseRepresentation
bin110111010100000110…
…000110011111100100
312200022012022011121101
4313110012012133210
51433114043202400
643141300525444
74201545460300
oct672406063744
9180265264541
1059392944100
112320884aa76
12b6166b0884
1357a6a60b09
142c35dd0d00
1518292de56a
hexdd41867e4

59392944100 has 54 divisors (see below), whose sum is σ = 149924772690. Its totient is φ = 20363293440.

The previous prime is 59392944077. The next prime is 59392944119. The reversal of 59392944100 is 144929395.

59392944100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 19709913664 + 39683030436 = 140392^2 + 199206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6055605 + ... + 6065404.

Almost surely, 259392944100 is an apocalyptic number.

59392944100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

59392944100 is an abundant number, since it is smaller than the sum of its proper divisors (90531828590).

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

59392944100 is a wasteful number, since it uses less digits than its factorization.

59392944100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12121037 (or 12121023 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 59392944100 in words is "fifty-nine billion, three hundred ninety-two million, nine hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 12121009 24242018 48484036 60605045 84847063 121210090 169694126 242420180 303025225 339388252 424235315 593929441 606050450 848470630 1187858882 1212100900 1696941260 2121176575 2375717764 2969647205 4242353150 5939294410 8484706300 11878588820 14848236025 29696472050 59392944100