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23056465032 = 23321018393779
BaseRepresentation
bin10101011110010001…
…011011110010001000
32012111211210210001100
4111132101123302020
5334204423340112
614331512021400
71444234501446
oct253621336210
965454723040
1023056465032
119861856487
124575691860
13223599c123
14118a1c9b96
158ee2652dc
hex55e45bc88

23056465032 has 96 divisors (see below), whose sum is σ = 63154728000. Its totient is φ = 7598313600.

The previous prime is 23056465013. The next prime is 23056465073.

23056465032 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 646 + 5 + 0 + 3 + 2 = 666.

23056465032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230564650322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 6099319 + ... + 6103097.

It is an arithmetic number, because the mean of its divisors is an integer number (657861750).

Almost surely, 223056465032 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 23056465032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31577364000).

23056465032 is an abundant number, since it is smaller than the sum of its proper divisors (40098262968).

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

23056465032 is a wasteful number, since it uses less digits than its factorization.

23056465032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 23056465032 in words is "twenty-three billion, fifty-six million, four hundred sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 839 909 1212 1678 1818 2424 2517 3356 3636 3779 5034 6712 7272 7551 7558 10068 11337 15102 15116 20136 22674 30204 30232 34011 45348 60408 68022 84739 90696 136044 169478 254217 272088 338956 381679 508434 677912 762651 763358 1016868 1145037 1525302 1526716 2033736 2290074 3050604 3053432 3170581 3435111 4580148 6101208 6341162 6870222 9160296 9511743 12682324 13740444 19023486 25364648 27480888 28535229 38046972 57070458 76093944 114140916 228281832 320228681 640457362 960686043 1280914724 1921372086 2561829448 2882058129 3842744172 5764116258 7685488344 11528232516 23056465032