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97565021316 = 223472372672
BaseRepresentation
bin101101011011101010…
…1000001010010000100
3100022211110210121110000
41122313111001102010
53044303121140231
6112453141001300
710022515666200
oct1326725012204
9308743717400
1097565021316
1138416a02624
1216aaa3b3230
13927b1c7959
144a178d7b00
1528105a46e6
hex16b7541484

97565021316 has 405 divisors, whose sum is σ = 309550416021. Its totient is φ = 26717511744.

The previous prime is 97565021243. The next prime is 97565021321. The reversal of 97565021316 is 61312056579.

The square root of 97565021316 is 312354.

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

97565021316 is a `hidden beast` number, since 9 + 7 + 5 + 6 + 502 + 131 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87302520900 + 10262500416 = 295470^2 + 101304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1456194315 + ... + 1456194381.

Almost surely, 297565021316 is an apocalyptic number.

97565021316 is the 312354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97565021316

97565021316 is an abundant number, since it is smaller than the sum of its proper divisors (211985394705).

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

97565021316 is a wasteful number, since it uses less digits than its factorization.

97565021316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 97565021316 in words is "ninety-seven billion, five hundred sixty-five million, twenty-one thousand, three hundred sixteen".