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97560925099680 = 2535717231573311429
BaseRepresentation
bin10110001011101100101100…
…010010001101011010100000
3110210102201210121120201000110
4112023230230102031122200
5100241414233311142210
6543254511550451320
726356354446440040
oct2613545422153240
9423381717521013
1097560925099680
11290a43a08a1049
12ab37b64503b40
134258c56a65063
141a13d8c803720
15b42bb474a420
hex58bb2c48d6a0

97560925099680 has 1536 divisors, whose sum is σ = 391973523701760. Its totient is φ = 19873329315840.

The previous prime is 97560925099637. The next prime is 97560925099691. The reversal of 97560925099680 is 8699052906579.

It is a happy number.

It is a super-2 number, since 2×975609250996802 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68272165206 + ... + 68272166634.

It is an arithmetic number, because the mean of its divisors is an integer number (255191096160).

Almost surely, 297560925099680 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 97560925099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195986761850880).

97560925099680 is an abundant number, since it is smaller than the sum of its proper divisors (294412598602080).

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

97560925099680 is a wasteful number, since it uses less digits than its factorization.

97560925099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 75.

The spelling of 97560925099680 in words is "ninety-seven trillion, five hundred sixty billion, nine hundred twenty-five million, ninety-nine thousand, six hundred eighty".