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31431612526032 = 2435312797284989
BaseRepresentation
bin1110010010110001111100…
…00110010110110111010000
311010021211111010020021012110
413021120332012112313100
513104433420301313112
6150503252232025320
76422600442155205
oct711307606266720
9133254433207173
1031431612526032
11a01908793a014
1236377a7532240
13146ccb050b514
147a9426235cac
1539791d3d813c
hex1c963e196dd0

31431612526032 has 80 divisors (see below), whose sum is σ = 83381797509120. Its totient is φ = 10198579862016.

The previous prime is 31431612525953. The next prime is 31431612526081. The reversal of 31431612526032 is 23062521613413.

It is a super-2 number, since 2×314316125260322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48319407 + ... + 48965582.

It is an arithmetic number, because the mean of its divisors is an integer number (1042272468864).

Almost surely, 231431612526032 is an apocalyptic number.

It is an amenable number.

31431612526032 is an abundant number, since it is smaller than the sum of its proper divisors (51950184983088).

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

31431612526032 is a wasteful number, since it uses less digits than its factorization.

31431612526032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97285180 (or 97285174 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 31431612526032 in words is "thirty-one trillion, four hundred thirty-one billion, six hundred twelve million, five hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 127 159 212 254 318 381 424 508 636 762 848 1016 1272 1524 2032 2544 3048 6096 6731 13462 20193 26924 40386 53848 80772 107696 161544 323088 97284989 194569978 291854967 389139956 583709934 778279912 1167419868 1556559824 2334839736 4669679472 5156104417 10312208834 12355193603 15468313251 20624417668 24710387206 30936626502 37065580809 41248835336 49420774412 61873253004 74131161618 82497670672 98841548824 123746506008 148262323236 197683097648 247493012016 296524646472 593049292944 654825260959 1309650521918 1964475782877 2619301043836 3928951565754 5238602087672 7857903131508 10477204175344 15715806263016 31431612526032