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23066477928 = 23321324779949
BaseRepresentation
bin10101011110110111…
…101000010101101000
32012112112122111011100
4111132313220111220
5334220004243203
614332510401400
71444415553534
oct253667502550
965475574140
1023066477928
1198674752aa
124578b00260
132237a96810
14118b674bc4
15900091ea3
hex55ede8568

23066477928 has 96 divisors (see below), whose sum is σ = 67311153000. Its totient is φ = 7093799424.

The previous prime is 23066477911. The next prime is 23066477947. The reversal of 23066477928 is 82977466032.

23066477928 is a `hidden beast` number, since 23 + 0 + 66 + 477 + 92 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14839625124 + 8226852804 = 121818^2 + 90702^2 .

It is a super-2 number, since 2×230664779282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2313498 + ... + 2323446.

Almost surely, 223066477928 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 23066477928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33655576500).

23066477928 is an abundant number, since it is smaller than the sum of its proper divisors (44244675072).

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

23066477928 is a wasteful number, since it uses less digits than its factorization.

23066477928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 23066477928 in words is "twenty-three billion, sixty-six million, four hundred seventy-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2477 4954 7431 9908 9949 14862 19816 19898 22293 29724 29847 32201 39796 44586 59448 59694 64402 79592 89172 89541 96603 119388 128804 129337 178344 179082 193206 238776 257608 258674 289809 358164 386412 388011 517348 579618 716328 772824 776022 1034696 1159236 1164033 1552044 2318472 2328066 3104088 4656132 9312264 24643673 49287346 73931019 98574692 147862038 197149384 221793057 295724076 320367749 443586114 591448152 640735498 887172228 961103247 1281470996 1774344456 1922206494 2562941992 2883309741 3844412988 5766619482 7688825976 11533238964 23066477928