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23163144136132 = 227211136712334757
BaseRepresentation
bin1010100010001000101101…
…11110100110010111000100
310001000101010100012121001011
411101010112332212113010
511014001104344324012
6121133000154412004
74610324206402600
oct521042676462704
9101011110177034
1023163144136132
117420486003990
12272120a131004
13cc037658c920
145a1160470500
152a27d70cd1a7
hex151116fa65c4

23163144136132 has 144 divisors (see below), whose sum is σ = 56223997881408. Its totient is φ = 8206066471680.

The previous prime is 23163144136079. The next prime is 23163144136243.

23163144136132 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4289503 + ... + 8045254.

It is an arithmetic number, because the mean of its divisors is an integer number (390444429732).

Almost surely, 223163144136132 is an apocalyptic number.

23163144136132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23163144136132 is an abundant number, since it is smaller than the sum of its proper divisors (33060853745276).

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

23163144136132 is a wasteful number, since it uses less digits than its factorization.

23163144136132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12334866 (or 12334857 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The spelling of 23163144136132 in words is "twenty-three trillion, one hundred sixty-three billion, one hundred forty-four million, one hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 67 77 91 98 134 143 154 182 196 268 286 308 364 469 539 572 637 737 871 938 1001 1078 1274 1474 1742 1876 2002 2156 2548 2948 3283 3484 4004 5159 6097 6566 7007 9581 10318 12194 13132 14014 19162 20636 24388 28028 36113 38324 42679 67067 72226 85358 134134 144452 170716 268268 469469 938938 1877876 12334757 24669514 49339028 86343299 135682327 160351841 172686598 271364654 320703682 345373196 542729308 604403093 641407364 826428719 949776289 1122462887 1208806186 1652857438 1763870251 1899552578 2244925774 2417612372 3305714876 3527740502 3799105156 4489851548 5785001033 6648434023 7055481004 7857240209 9090715909 10743573347 11570002066 12347091757 13296868046 15714480418 18181431818 21487146694 23140004132 24694183514 26593736092 31428960836 36362863636 40495007231 42974293388 49388367028 63635011363 75205013429 80990014462 86429642299 118179306817 127270022726 150410026858 161980028924 172859284598 236358613634 254540045452 300820053716 345718569196 445445079541 472717227268 526435094003 827255147719 890890159082 1052870188006 1654510295438 1781780318164 2105740376012 3309020590876 5790786034033 11581572068066 23163144136132