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96119220961 = 3127321372
BaseRepresentation
bin101100110000100100…
…1101110101011100001
3100012002201021100012201
41121201021232223201
53033323010032321
6112053452253201
76641631616621
oct1314111565341
9305081240181
1096119220961
11378448813a5
1216766171201
1390aa80149a
14491b8a2881
1527786b4291
hex166126eae1

96119220961 has 27 divisors (see below), whose sum is σ = 101439439353. Its totient is φ = 91074706560.

The previous prime is 96119220937. The next prime is 96119220979. The reversal of 96119220961 is 16902291169.

It is a happy number.

The square root of 96119220961 is 310031.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2311782561 + 93807438400 = 48081^2 + 306280^2 .

It is not a de Polignac number, because 96119220961 - 27 = 96119220833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96119220931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 701600085 + ... + 701600221.

Almost surely, 296119220961 is an apocalyptic number.

96119220961 is the 310031-st square number.

96119220961 is the 155016-th centered octagonal number.

It is an amenable number.

96119220961 is a deficient number, since it is larger than the sum of its proper divisors (5320218392).

96119220961 is an frugal number, since it uses more digits than its factorization.

96119220961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 46.

The spelling of 96119220961 in words is "ninety-six billion, one hundred nineteen million, two hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 31 73 137 961 2263 4247 5329 10001 18769 70153 131657 165199 310031 581839 730073 1370137 5121169 9610961 18037009 22632263 42474247 100020001 701600153 1316701657 3100620031 96119220961