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113791129452 = 223373111321481
BaseRepresentation
bin110100111111001111…
…0101101011101101100
3101212201022002022022000
41221332132231131230
53331021012120302
6124135214452300
711135564433000
oct1517636553554
9355638068260
10113791129452
1144293142850
121a078504090
13a965a79880
1457168c6700
152e5ed6031c
hex1a7e7ad76c

113791129452 has 384 divisors, whose sum is σ = 404205312000. Its totient is φ = 27281318400.

The previous prime is 113791129427. The next prime is 113791129471. The reversal of 113791129452 is 254921197311.

113791129452 is a `hidden beast` number, since 1 + 1 + 3 + 79 + 1 + 129 + 452 = 666.

It is a super-2 number, since 2×1137911294522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113791129398 and 113791129407.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5286552 + ... + 5308032.

It is an arithmetic number, because the mean of its divisors is an integer number (1052618000).

Almost surely, 2113791129452 is an apocalyptic number.

113791129452 is a gapful number since it is divisible by the number (12) 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 113791129452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202102656000).

113791129452 is an abundant number, since it is smaller than the sum of its proper divisors (290414182548).

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

113791129452 is a wasteful number, since it uses less digits than its factorization.

113791129452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21539 (or 21517 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 113791129452 in words is "one hundred thirteen billion, seven hundred ninety-one million, one hundred twenty-nine thousand, four hundred fifty-two".