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97137266688 = 2123371121761
BaseRepresentation
bin101101001110111010…
…1010001000000000000
3100021201122220102102000
41122131311101000000
53042414120013223
6112342500424000
710006103100150
oct1323565210000
9307648812360
1097137266688
1138217500200
12169ab0a8000
1392106b93c7
1449b6b8a760
1527d7c5c543
hex169dd51000

97137266688 has 1248 divisors, whose sum is σ = 389047599360. Its totient is φ = 23357030400.

The previous prime is 97137266669. The next prime is 97137266693. The reversal of 97137266688 is 88666273179.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1592414178 + ... + 1592414238.

Almost surely, 297137266688 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 97137266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194523799680).

97137266688 is an abundant number, since it is smaller than the sum of its proper divisors (291910332672).

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

97137266688 is a wasteful number, since it uses less digits than its factorization.

97137266688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 97137266688 in words is "ninety-seven billion, one hundred thirty-seven million, two hundred sixty-six thousand, six hundred eighty-eight".