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23115046611721 = 113215722712
BaseRepresentation
bin1010100000101111001000…
…01001000110101100001001
310000211202222100020012022011
411100113210021012230021
511012204103413033341
6121054523353455521
74604002255240111
oct520274411065411
9100752870205264
1023115046611721
117402044227a09
122713a264115a1
13cb897ca0c4cc
1459caba690041
152a141e784b81
hex1505e4246b09

23115046611721 has 27 divisors (see below), whose sum is σ = 23557833071253. Its totient is φ = 22680559923840.

The previous prime is 23115046611697. The next prime is 23115046611733. The reversal of 23115046611721 is 12711664051132.

The square root of 23115046611721 is 4807811.

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 13402474361721 + 9712572250000 = 3660939^2 + 3116500^2 .

It is not a de Polignac number, because 23115046611721 - 231 = 23112899128073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23115046911721) 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, 85295374816 + ... + 85295375086.

Almost surely, 223115046611721 is an apocalyptic number.

23115046611721 is the 4807811-st square number.

23115046611721 is the 2403906-th centered octagonal number.

It is an amenable number.

23115046611721 is a deficient number, since it is larger than the sum of its proper divisors (442786459532).

23115046611721 is an frugal number, since it uses more digits than its factorization.

23115046611721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 23115046611721 in words is "twenty-three trillion, one hundred fifteen billion, forty-six million, six hundred eleven thousand, seven hundred twenty-one".

Divisors: 1 113 157 271 12769 17741 24649 30623 42547 73441 2004733 2785337 3460399 4807811 6679879 8298833 11530237 314743081 543282643 754826327 937768129 1302916781 1810247209 85295374951 147229596253 204557934617 23115046611721