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131662425152 = 2643592293541
BaseRepresentation
bin111101010011110110…
…0010010110001000000
3110120211210002012012202
41322213230102301000
54124121040101102
6140252422412332
712340501101626
oct1724754226100
9416753065182
10131662425152
1150924008815
12216255910a8
13c55342635b
1465301ad516
153658c93e02
hex1ea7b12c40

131662425152 has 112 divisors (see below), whose sum is σ = 273139204800. Its totient is φ = 62916618240.

The previous prime is 131662425119. The next prime is 131662425199. The reversal of 131662425152 is 251524266131.

131662425152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37180502 + ... + 37184042.

It is an arithmetic number, because the mean of its divisors is an integer number (2438742900).

Almost surely, 2131662425152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131662425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136569602400).

131662425152 is an abundant number, since it is smaller than the sum of its proper divisors (141476779648).

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

131662425152 is a wasteful number, since it uses less digits than its factorization.

131662425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3874 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The spelling of 131662425152 in words is "one hundred thirty-one billion, six hundred sixty-two million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 172 229 236 344 458 472 688 916 944 1376 1832 1888 2537 2752 3541 3664 3776 5074 7082 7328 9847 10148 13511 14164 14656 19694 20296 27022 28328 39388 40592 54044 56656 78776 81184 108088 113312 152263 157552 162368 208919 216176 226624 304526 315104 417838 432352 580973 609052 630208 810889 835676 864704 1161946 1218104 1621778 1671352 2323892 2436208 3243556 3342704 4647784 4872416 6487112 6685408 8983517 9295568 9744832 12974224 13370816 17967034 18591136 25948448 34868227 35934068 37182272 47842451 51896896 69736454 71868136 95684902 139472908 143736272 191369804 278945816 287472544 382739608 557891632 574945088 765479216 1115783264 1530958432 2057225393 2231566528 3061916864 4114450786 8228901572 16457803144 32915606288 65831212576 131662425152