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23156489270161 = 132197218792
BaseRepresentation
bin1010100001111100010100…
…10100010011001110010001
310000222201221112220101010201
411100332022110103032101
511013343442223121121
6121125535545455201
74610000251103152
oct520761224231621
9100881845811121
1023156489270161
117418680560655
12271ba714a1501
13cbc855928100
145a0acc6b5929
152a2547c3ae91
hex150f8a513391

23156489270161 has 27 divisors (see below), whose sum is σ = 25216127536401. Its totient is φ = 21255399101664.

The previous prime is 23156489270147. The next prime is 23156489270171. The reversal of 23156489270161 is 16107298465132.

The square root of 23156489270161 is 4812119.

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 1441634863761 + 21714854406400 = 1200681^2 + 4659920^2 .

It is not a de Polignac number, because 23156489270161 - 233 = 23147899335569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23156489270171) 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, 12323835820 + ... + 12323837698.

It is a 2-persistent number, because it is pandigital, and so is 2⋅23156489270161 = 46312978540322, but 3⋅23156489270161 = 69469467810483 is not.

Almost surely, 223156489270161 is an apocalyptic number.

23156489270161 is the 4812119-th square number.

23156489270161 is the 2406060-th centered octagonal number.

It is an amenable number.

23156489270161 is a deficient number, since it is larger than the sum of its proper divisors (2059638266240).

23156489270161 is an frugal number, since it uses more digits than its factorization.

23156489270161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 2089 counting only the distinct ones).

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

The spelling of 23156489270161 in words is "twenty-three trillion, one hundred fifty-six billion, four hundred eighty-nine million, two hundred seventy thousand, one hundred sixty-one".

Divisors: 1 13 169 197 1879 2561 24427 33293 38809 317551 370163 504517 3530641 4812119 6558721 45898333 62557547 72922111 596678329 695536277 947987443 9041971601 12323836759 117545630813 137020646569 1781268405397 23156489270161