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23976066132 = 22327954115583
BaseRepresentation
bin10110010101000101…
…011011110001010100
32021212221012100121100
4112111011123301110
5343100333104012
615003042150100
71506102125304
oct262505336124
967787170540
1023976066132
11a193956397
124791652330
1323513694a5
1412363a9604
15954d648dc
hex59515bc54

23976066132 has 72 divisors (see below), whose sum is σ = 61490723840. Its totient is φ = 7875766080.

The previous prime is 23976066131. The next prime is 23976066143. The reversal of 23976066132 is 23166067932.

23976066132 is a `hidden beast` number, since 2 + 3 + 9 + 7 + 606 + 6 + 1 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23976066131) 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 23 ways as a sum of consecutive naturals, for example, 1530813 + ... + 1546395.

Almost surely, 223976066132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23976066132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30745361920).

23976066132 is an abundant number, since it is smaller than the sum of its proper divisors (37514657708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23976066132 is a wasteful number, since it uses less digits than its factorization.

23976066132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16213 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 23976066132 in words is "twenty-three billion, nine hundred seventy-six million, sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 541 711 948 1082 1422 1623 2164 2844 3246 4869 6492 9738 15583 19476 31166 42739 46749 62332 85478 93498 128217 140247 170956 186996 256434 280494 384651 512868 560988 769302 1231057 1538604 2462114 3693171 4924228 7386342 8430403 11079513 14772684 16860806 22159026 25291209 33721612 44318052 50582418 75873627 101164836 151747254 303494508 666001837 1332003674 1998005511 2664007348 3996011022 5994016533 7992022044 11988033066 23976066132