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132433104377652 = 223133784012243467
BaseRepresentation
bin11110000111001001111100…
…001001001001011100110100
3122100220110222202011010122220
4132013021330021021130310
5114324240444210041102
61145354532300522340
736615655532526231
oct3607117411113464
9570813882133586
10132433104377652
1139219622996301
1212a2a50a8503b0
1358b8507a1b420
14249bb21672788
151049d503a91bc
hex78727c249734

132433104377652 has 48 divisors (see below), whose sum is σ = 332781649029312. Its totient is φ = 40748521651200.

The previous prime is 132433104377579. The next prime is 132433104377683. The reversal of 132433104377652 is 256773401334231.

It is a junction number, because it is equal to n+sod(n) for n = 132433104377595 and 132433104377604.

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, 57908823 + ... + 60152289.

It is an arithmetic number, because the mean of its divisors is an integer number (6932951021444).

Almost surely, 2132433104377652 is an apocalyptic number.

132433104377652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132433104377652 is an abundant number, since it is smaller than the sum of its proper divisors (200348544651660).

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

132433104377652 is a wasteful number, since it uses less digits than its factorization.

132433104377652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621888 (or 2621886 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 51.

The spelling of 132433104377652 in words is "one hundred thirty-two trillion, four hundred thirty-three billion, one hundred four million, three hundred seventy-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 378401 756802 1135203 1513604 2243467 2270406 4486934 4540812 4919213 6730401 8973868 9838426 13460802 14757639 19676852 26921604 29165071 29515278 58330142 59030556 87495213 116660284 174990426 349980852 848930156267 1697860312534 2546790468801 3395720625068 5093580937602 10187161875204 11036092031471 22072184062942 33108276094413 44144368125884 66216552188826 132433104377652