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97055937216 = 26327217911047
BaseRepresentation
bin101101001100011111…
…1000001001011000000
3100021111222212110100100
41122120333001023000
53042232304442331
6112330433322400
710004064566040
oct1323077011300
9307458773310
1097055937216
1138185601167
1216987a06400
1391c98b1b64
1449aa059720
1527d0a44ae6
hex1698fc12c0

97055937216 has 168 divisors, whose sum is σ = 318109925120. Its totient is φ = 27715032576.

The previous prime is 97055937163. The next prime is 97055937283. The reversal of 97055937216 is 61273955079.

97055937216 is a `hidden beast` number, since 9 + 7 + 0 + 559 + 3 + 72 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×970559372162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8780205 + ... + 8791251.

Almost surely, 297055937216 is an apocalyptic number.

97055937216 is a gapful number since it is divisible by the number (96) 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 97055937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159054962560).

97055937216 is an abundant number, since it is smaller than the sum of its proper divisors (221053987904).

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

97055937216 is a wasteful number, since it uses less digits than its factorization.

97055937216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13251 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 97055937216 in words is "ninety-seven billion, fifty-five million, nine hundred thirty-seven thousand, two hundred sixteen".