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23678131129 = 1538772
BaseRepresentation
bin10110000011010100…
…111001101110111001
32021010011120200121121
4112003110321232321
5341443100144004
614513320305241
71465523536162
oct260324715671
967104520547
1023678131129
11a050762414
124709912221
1323047125a3
1412089b2769
15938b12854
hex583539bb9

23678131129 has 3 divisors (see below), whose sum is σ = 23678285007. Its totient is φ = 23677977252.

The previous prime is 23678131067. The next prime is 23678131157. The reversal of 23678131129 is 92113187632.

The square root of 23678131129 is 153877.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9361530025 + 14316601104 = 96755^2 + 119652^2 .

It is not a de Polignac number, because 23678131129 - 233 = 15088196537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23678138129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 76939 + ... + 230815.

It is an arithmetic number, because the mean of its divisors is an integer number (7892761669).

Almost surely, 223678131129 is an apocalyptic number.

23678131129 is the 153877-th square number.

23678131129 is the 76939-th centered octagonal number.

It is an amenable number.

23678131129 is a deficient number, since it is larger than the sum of its proper divisors (153878).

23678131129 is an frugal number, since it uses more digits than its factorization.

23678131129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307754 (or 153877 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The spelling of 23678131129 in words is "twenty-three billion, six hundred seventy-eight million, one hundred thirty-one thousand, one hundred twenty-nine".

Divisors: 1 153877 23678131129