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23121188523264 = 283132315824171
BaseRepresentation
bin1010100000111010100100…
…01110101000110100000000
310000212100211101022122000110
411100131102032220310000
511012304143230221024
6121101421040151320
74604310414516546
oct520352216506400
9100770741278013
1023121188523264
117404706175a67
12271505b308540
13cb941b3046b0
1459d10027dd96
152a167daa0629
hex1507523a8d00

23121188523264 has 72 divisors (see below), whose sum is σ = 66269624505952. Its totient is φ = 7114211850240.

The previous prime is 23121188523253. The next prime is 23121188523269. The reversal of 23121188523264 is 46232588112132.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121188523269) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1157902102 + ... + 1157922069.

Almost surely, 223121188523264 is an apocalyptic number.

23121188523264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23121188523264 is an abundant number, since it is smaller than the sum of its proper divisors (43148435982688).

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

23121188523264 is a wasteful number, since it uses less digits than its factorization.

23121188523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315824203 (or 2315824189 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The spelling of 23121188523264 in words is "twenty-three trillion, one hundred twenty-one billion, one hundred eighty-eight million, five hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 2315824171 4631648342 6947472513 9263296684 13894945026 18526593368 27789890052 30105714223 37053186736 55579780104 60211428446 74106373472 90317142669 111159560208 120422856892 148212746944 180634285338 222319120416 240845713784 296425493888 361268570676 444638240832 481691427568 592850987776 722537141352 889276481664 963382855136 1445074282704 1778552963328 1926765710272 2890148565408 3853531420544 5780297130816 7707062841088 11560594261632 23121188523264