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112702546944 = 210321322692
BaseRepresentation
bin110100011110110011…
…0000110010000000000
3101202220102201120211100
41220331212012100000
53321303323000234
6123435210414400
711066605562031
oct1507546062000
9352812646740
10112702546944
1143884716689
1219a13a31400
13a821395a00
1456520baa88
152de94d2399
hex1a3d986400

112702546944 has 297 divisors, whose sum is σ = 353699388003. Its totient is φ = 34548793344.

The previous prime is 112702546939. The next prime is 112702546949. The reversal of 112702546944 is 449645207211.

The square root of 112702546944 is 335712.

It is a perfect power (a square), and thus also a powerful number.

112702546944 is a `hidden beast` number, since 1 + 12 + 7 + 0 + 2 + 546 + 94 + 4 = 666.

112702546944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112702546939) and next prime (112702546949).

It can be written as a sum of positive squares in 4 ways, for example, as 70968960000 + 41733586944 = 266400^2 + 204288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112702546944.

It is not an unprimeable number, because it can be changed into a prime (112702546949) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 418968442 + ... + 418968710.

Almost surely, 2112702546944 is an apocalyptic number.

112702546944 is the 335712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112702546944

112702546944 is an abundant number, since it is smaller than the sum of its proper divisors (240996841059).

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

112702546944 is an equidigital number, since it uses as much as digits as its factorization.

112702546944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 112702546944 in words is "one hundred twelve billion, seven hundred two million, five hundred forty-six thousand, nine hundred forty-four".