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23460129889 = 72218812
BaseRepresentation
bin10101110110010101…
…010010110001100001
32020112222101002010121
4111312111102301201
5341021243124024
614435532000241
71460235546100
oct256625226141
966488332117
1023460129889
119a496a48a9
124668900081
13229b4c4881
1411c7a66037
159248ee8e4
hex576552c61

23460129889 has 9 divisors (see below), whose sum is σ = 27291602451. Its totient is φ = 20107763760.

The previous prime is 23460129887. The next prime is 23460129893. The reversal of 23460129889 is 98892106432.

The square root of 23460129889 is 153167.

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

It can be written as a sum of positive squares in only one way, i.e., 173369889 + 23286760000 = 13167^2 + 152600^2 .

It is not a de Polignac number, because 23460129889 - 21 = 23460129887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23460129883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1061229 + ... + 1083109.

Almost surely, 223460129889 is an apocalyptic number.

23460129889 is the 153167-th square number.

23460129889 is the 76584-th centered octagonal number.

It is an amenable number.

23460129889 is a deficient number, since it is larger than the sum of its proper divisors (3831472562).

23460129889 is an frugal number, since it uses more digits than its factorization.

23460129889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43776 (or 21888 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 23460129889 in words is "twenty-three billion, four hundred sixty million, one hundred twenty-nine thousand, eight hundred eighty-nine".

Divisors: 1 7 49 21881 153167 1072169 478778161 3351447127 23460129889