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23534685869331 = 374133737917923
BaseRepresentation
bin1010101100111100110001…
…00101110101010100010011
310002022220010201112020000110
411112132120211311110103
511041043014040304311
6122015404015252403
74646216312130000
oct526363045652423
9102286121466013
1023534685869331
11755400569721a
12278121a81a103
13101940807a830
145b5128c728a7
152ac2d03dc8a6
hex156798975513

23534685869331 has 160 divisors (see below), whose sum is σ = 40597871471360. Its totient is φ = 12045848193792.

The previous prime is 23534685869311. The next prime is 23534685869339. The reversal of 23534685869331 is 13396858643532.

It is not a de Polignac number, because 23534685869331 - 27 = 23534685869203 is a prime.

It is a super-2 number, since 2×235346858693312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23534685869339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1313090736 + ... + 1313108658.

It is an arithmetic number, because the mean of its divisors is an integer number (253736696696).

Almost surely, 223534685869331 is an apocalyptic number.

23534685869331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23534685869331 is a deficient number, since it is larger than the sum of its proper divisors (17063185602029).

23534685869331 is a wasteful number, since it uses less digits than its factorization.

23534685869331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18362 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 66.

The spelling of 23534685869331 in words is "twenty-three trillion, five hundred thirty-four billion, six hundred eighty-five million, eight hundred sixty-nine thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 343 379 481 637 777 1029 1137 1443 1813 1911 2401 2653 3367 4459 4927 5439 7203 7959 10101 12691 13377 14023 14781 17923 18571 23569 31213 34489 38073 42069 53769 55713 70707 88837 93639 98161 103467 125461 129997 164983 182299 232999 241423 266511 294483 376383 389991 494949 546897 663151 687127 698997 724269 878227 909979 1154881 1276093 1630993 1689961 1989453 2061381 2634681 2729937 3464643 3828279 4642057 4809889 4892979 5069883 6147589 6792817 8620963 8932651 11416951 11829727 13926171 14429667 18442767 20378451 25862889 26797953 32494399 33669223 34250853 35489181 43033123 47549719 60346741 62528557 79918657 88306621 97483197 101007669 129099369 142649157 181040223 187585671 227460793 239755971 251334229 264919863 332848033 422427187 437699899 559430599 618146347 682382379 754002687 998544099 1267281561 1313099697 1592225551 1678291797 1759339603 1854439041 2329936231 2956990309 3267344977 4327024429 4776676653 5278018809 6989808693 8870970927 9802034931 12315377221 12981073287 16309553617 20698932163 22871414839 30289171003 36946131663 48928660851 62096796489 68614244517 86207640547 90867513009 160099903873 212024197021 258622921641 480299711619 603453483829 636072591063 1120699327111 1810360451487 3362097981333 7844895289777 23534685869331