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131064272784 = 2432301692
BaseRepresentation
bin111101000010000001…
…0100001011110010000
3110112022002112220102100
41322010002201132100
54121404423212114
6140113214120400
712316615636314
oct1720402413620
9415262486370
10131064272784
1150647402015
12214991b0100
13c489526743
1464b4987b44
1536214dd909
hex1e840a1790

131064272784 has 45 divisors (see below), whose sum is σ = 366810088593. Its totient is φ = 43686642816.

The previous prime is 131064272747. The next prime is 131064272797. The reversal of 131064272784 is 487272460131.

The square root of 131064272784 is 362028.

It is a perfect power (a square), and thus also a powerful number.

131064272784 is a `hidden beast` number, since 1 + 310 + 64 + 2 + 7 + 278 + 4 = 666.

131064272784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 75970794384 + 55093478400 = 275628^2 + 234720^2 .

It is a super-2 number, since 2×1310642727842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4329252 + ... + 4359420.

Almost surely, 2131064272784 is an apocalyptic number.

131064272784 is the 362028-th square number.

It is an amenable number.

131064272784 is an abundant number, since it is smaller than the sum of its proper divisors (235745815809).

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

131064272784 is an frugal number, since it uses more digits than its factorization.

131064272784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60352 (or 30174 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 131064272784 in words is "one hundred thirty-one billion, sixty-four million, two hundred seventy-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 30169 60338 90507 120676 181014 241352 271521 362028 482704 543042 724056 1086084 1448112 2172168 4344336 910168561 1820337122 2730505683 3640674244 5461011366 7281348488 8191517049 10922022732 14562696976 16383034098 21844045464 32766068196 43688090928 65532136392 131064272784