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156247068961 = 3124123112
BaseRepresentation
bin1001000110000100001…
…1010001000100100001
3112221022010102111110001
42101201003101010201
510024443222201321
6155440124540001
714200643113204
oct2214103210441
9487263374401
10156247068961
116029a440565
12263469b1601
13119708a2779
1477c331593b
1540e726cc91
hex24610d1121

156247068961 has 27 divisors (see below), whose sum is σ = 166017543987. Its totient is φ = 147044532000.

The previous prime is 156247068949. The next prime is 156247068973. The reversal of 156247068961 is 169860742651.

The square root of 156247068961 is 395281.

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

It is an interprime number because it is at equal distance from previous prime (156247068949) and next prime (156247068973).

It can be written as a sum of positive squares in only one way, i.e., 7528859361 + 148718209600 = 86769^2 + 385640^2 .

It is not a de Polignac number, because 156247068961 - 225 = 156213514529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (156247068941) 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, 502401996 + ... + 502402306.

Almost surely, 2156247068961 is an apocalyptic number.

156247068961 is the 395281-st square number.

156247068961 is the 197641-st centered octagonal number.

It is an amenable number.

156247068961 is a deficient number, since it is larger than the sum of its proper divisors (9770475026).

156247068961 is an frugal number, since it uses more digits than its factorization.

156247068961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 156247068961 in words is "one hundred fifty-six billion, two hundred forty-seven million, sixty-eight thousand, nine hundred sixty-one".

Divisors: 1 31 41 311 961 1271 1681 9641 12751 39401 52111 96721 298871 395281 522791 1615441 2998351 3965561 12253711 16206521 92948881 122932391 162588001 502402151 3810904121 5040228031 156247068961