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97259012928 = 26337112361521
BaseRepresentation
bin101101010010100010…
…1101100001101000000
3100022001010222202212000
41122211011230031000
53043141301403203
6112402530104000
710012111653360
oct1324505541500
9308033882760
1097259012928
113827a1a4a30
1216a23a1b000
13922c9a50bc
1449c8ddc9a0
1527e37aa4a3
hex16a516c340

97259012928 has 896 divisors, whose sum is σ = 378798612480. Its totient is φ = 23721984000.

The previous prime is 97259012911. The next prime is 97259012993. The reversal of 97259012928 is 82921095279.

97259012928 is a `hidden beast` number, since 9 + 7 + 2 + 590 + 1 + 29 + 28 = 666.

It is a super-2 number, since 2×972590129282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 186677308 + ... + 186677828.

Almost surely, 297259012928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97259012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189399306240).

97259012928 is an abundant number, since it is smaller than the sum of its proper divisors (281539599552).

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

97259012928 is a wasteful number, since it uses less digits than its factorization.

97259012928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 97259012928 in words is "ninety-seven billion, two hundred fifty-nine million, twelve thousand, nine hundred twenty-eight".