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131661524436456 = 23372154433637619
BaseRepresentation
bin11101111011111011010110…
…011001010000010111101000
3122021011201102000100222011210
4131323323112121100113220
5114224120300223431311
61144004245212553120
736506142212325420
oct3573732631202750
9567151360328153
10131661524436456
1138a51380154413
1212924a761827a0
135860822a051c1
1424726479a3480
151034c421553a6
hex77bed66505e8

131661524436456 has 64 divisors (see below), whose sum is σ = 376177633574400. Its totient is φ = 37617393463488.

The previous prime is 131661524436389. The next prime is 131661524436503. The reversal of 131661524436456 is 654634425166131.

It is a junction number, because it is equal to n+sod(n) for n = 131661524436396 and 131661524436405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34375615 + ... + 38013233.

It is an arithmetic number, because the mean of its divisors is an integer number (5877775524600).

Almost surely, 2131661524436456 is an apocalyptic number.

It is an amenable number.

131661524436456 is an abundant number, since it is smaller than the sum of its proper divisors (244516109137944).

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

131661524436456 is a wasteful number, since it uses less digits than its factorization.

131661524436456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853078 (or 3853074 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 57.

The spelling of 131661524436456 in words is "one hundred thirty-one trillion, six hundred sixty-one billion, five hundred twenty-four million, four hundred thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 215443 430886 646329 861772 1292658 1508101 1723544 2585316 3016202 3637619 4524303 5170632 6032404 7275238 9048606 10912857 12064808 14550476 18097212 21825714 25463333 29100952 36194424 43651428 50926666 76389999 87302856 101853332 152779998 203706664 305559996 611119992 783699550217 1567399100434 2351098650651 3134798200868 4702197301302 5485896851519 6269596401736 9404394602604 10971793703038 16457690554557 18808789205208 21943587406076 32915381109114 43887174812152 65830762218228 131661524436456