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59797980112 = 24137117922621
BaseRepresentation
bin110111101100001111…
…001100001111010000
312201100102110010120011
4313230033030033100
51434431240330422
643245410124304
74214564305303
oct675417141720
9181312403504
1059797980112
11233a6445582
12b70a280694
13583c9466b0
142c73b06b3a
15184eb4a077
hexdec3cc3d0

59797980112 has 80 divisors (see below), whose sum is σ = 127240606080. Its totient is φ = 27057139200.

The previous prime is 59797980101. The next prime is 59797980157. The reversal of 59797980112 is 21108979795.

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 15 ways as a sum of consecutive naturals, for example, 2632162 + ... + 2654782.

It is an arithmetic number, because the mean of its divisors is an integer number (1590507576).

Almost surely, 259797980112 is an apocalyptic number.

59797980112 is a gapful number since it is divisible by the number (52) 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 59797980112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63620303040).

59797980112 is an abundant number, since it is smaller than the sum of its proper divisors (67442625968).

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

59797980112 is a wasteful number, since it uses less digits than its factorization.

59797980112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892 (or 22886 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 58.

The spelling of 59797980112 in words is "fifty-nine billion, seven hundred ninety-seven million, nine hundred eighty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 179 208 284 358 568 716 923 1136 1432 1846 2327 2864 3692 4654 7384 9308 12709 14768 18616 22621 25418 37232 45242 50836 90484 101672 165217 180968 203344 294073 330434 361936 588146 660868 1176292 1321736 1606091 2352584 2643472 3212182 4049159 4705168 6424364 8098318 12848728 16196636 20879183 25697456 32393272 41758366 52639067 64786544 83516732 105278134 167033464 210556268 287490289 334066928 421112536 574980578 842225072 1149961156 2299922312 3737373757 4599844624 7474747514 14949495028 29898990056 59797980112