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23133633132 = 22353731373637
BaseRepresentation
bin10101100010110111…
…110011101001101100
32012201020000022210010
4111202313303221230
5334334202230012
614343310013220
71446162431361
oct254267635154
965636008703
1023133633132
1198a1372a75
1245974a7210
13224897a51c
141196556468
15905e09c3c
hex562df3a6c

23133633132 has 96 divisors (see below), whose sum is σ = 56172699072. Its totient is φ = 7405572096.

The previous prime is 23133633067. The next prime is 23133633137.

It is a happy number.

23133633132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23133633132.

It is not an unprimeable number, because it can be changed into a prime (23133633137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358818 + ... + 6362454.

It is an arithmetic number, because the mean of its divisors is an integer number (585132282).

Almost surely, 223133633132 is an apocalyptic number.

It is an amenable number.

23133633132 is an abundant number, since it is smaller than the sum of its proper divisors (33039065940).

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

23133633132 is a wasteful number, since it uses less digits than its factorization.

23133633132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3905 counting only the distinct ones).

The product of its digits is 17496, while the sum is 30.

The spelling of 23133633132 in words is "twenty-three billion, one hundred thirty-three million, six hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 73 106 137 146 159 212 219 274 292 318 411 438 548 636 822 876 1644 3637 3869 7261 7274 7738 10001 10911 11607 14522 14548 15476 20002 21783 21822 23214 29044 30003 40004 43566 43644 46428 60006 87132 120012 192761 265501 385522 498269 530053 531002 578283 771044 796503 996538 1060106 1062004 1156566 1494807 1590159 1593006 1993076 2120212 2313132 2989614 3180318 3186012 5979228 6360636 14071553 26408257 28143106 36373637 42214659 52816514 56286212 72747274 79224771 84429318 105633028 109120911 145494548 158449542 168858636 218241822 316899084 436483644 1927802761 3855605522 5783408283 7711211044 11566816566 23133633132