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22053630231264 = 2536131312031913
BaseRepresentation
bin1010000001110110000101…
…10010111100001011100000
32220002022021102001101100110
411000323002302330023200
510342311313314400024
6114523144201051320
74434215341665222
oct500730262741340
986068242041313
1022053630231264
11703298a3683a5
122582184186b40
13c3c857721258
1456358961a412
152839eb28c629
hex140ec2cbc2e0

22053630231264 has 96 divisors (see below), whose sum is σ = 59027800041504. Its totient is φ = 7207596564480.

The previous prime is 22053630231247. The next prime is 22053630231289. The reversal of 22053630231264 is 46213203635022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4183029 + ... + 7848884.

It is an arithmetic number, because the mean of its divisors is an integer number (614872917099).

Almost surely, 222053630231264 is an apocalyptic number.

22053630231264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22053630231264 is an abundant number, since it is smaller than the sum of its proper divisors (36974169810240).

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

22053630231264 is a wasteful number, since it uses less digits than its factorization.

22053630231264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032300 (or 12032292 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 22053630231264 its reverse (46213203635022), we get a palindrome (68266833866286).

The spelling of 22053630231264 in words is "twenty-two trillion, fifty-three billion, six hundred thirty million, two hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 313 366 488 626 732 939 976 1252 1464 1878 1952 2504 2928 3756 5008 5856 7512 10016 15024 19093 30048 38186 57279 76372 114558 152744 229116 305488 458232 610976 916464 1832928 12031913 24063826 36095739 48127652 72191478 96255304 144382956 192510608 288765912 385021216 577531824 733946693 1155063648 1467893386 2201840079 2935786772 3765988769 4403680158 5871573544 7531977538 8807360316 11297966307 11743147088 15063955076 17614720632 22595932614 23486294176 30127910152 35229441264 45191865228 60255820304 70458882528 90383730456 120511640608 180767460912 229725314909 361534921824 459450629818 689175944727 918901259636 1378351889454 1837802519272 2756703778908 3675605038544 5513407557816 7351210077088 11026815115632 22053630231264