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540032433198 = 231922112414903
BaseRepresentation
bin1111101101111000111…
…00001111110000101110
31220121220210022000201120
413312330130033300232
532321441300330243
61052030521121410
754005335641516
oct7667434176056
91817823260646
10540032433198
11199032259035
12887b3929266
133bc03b4797b
141c1cdc34846
15e0aa3c4c83
hex7dbc70fc2e

540032433198 has 96 divisors (see below), whose sum is σ = 1150291498752. Its totient is φ = 168989587200.

The previous prime is 540032433197. The next prime is 540032433203. The reversal of 540032433198 is 891334230045.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540032433197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110140815 + ... + 110145717.

It is an arithmetic number, because the mean of its divisors is an integer number (11982203112).

Almost surely, 2540032433198 is an apocalyptic number.

540032433198 is an abundant number, since it is smaller than the sum of its proper divisors (610259065554).

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

540032433198 is a wasteful number, since it uses less digits than its factorization.

540032433198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 540032433198 in words is "five hundred forty billion, thirty-two million, four hundred thirty-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 19 38 57 114 211 241 361 422 482 633 722 723 1083 1266 1446 2166 4009 4579 4903 8018 9158 9806 12027 13737 14709 24054 27474 29418 50851 76171 87001 93157 101702 152342 152553 174002 186314 228513 261003 279471 305106 457026 522006 558942 966169 1034533 1181623 1769983 1932338 2069066 2363246 2898507 3103599 3539966 3544869 5309949 5797014 6207198 7089738 10619898 18357211 19656127 22450837 36714422 39312254 44901674 55071633 58968381 67352511 110143266 117936762 134705022 249322453 373466413 426565903 498644906 746932826 747967359 853131806 1120399239 1279697709 1495934718 2240798478 2559395418 4737126607 9474253214 14211379821 28422759642 90005405533 180010811066 270016216599 540032433198