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131694958404 = 2234201612
BaseRepresentation
bin111101010100110100…
…0011001011101000100
3110120221001022001110000
41322221220121131010
54124202402132104
6140255544001300
712341344451022
oct1725150313504
9416831261400
10131694958404
11509404094a9
1221634460230
13c55a0a73b9
14653463b712
15365ba6d639
hex1ea9a19744

131694958404 has 45 divisors (see below), whose sum is σ = 344293712301. Its totient is φ = 43896142080.

The previous prime is 131694958361. The next prime is 131694958463. The reversal of 131694958404 is 404859496131.

The square root of 131694958404 is 362898.

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

131694958404 is a `hidden beast` number, since 1 + 3 + 16 + 9 + 49 + 584 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85967412804 + 45727545600 = 293202^2 + 213840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6522084 + ... + 6542244.

Almost surely, 2131694958404 is an apocalyptic number.

131694958404 is the 362898-th square number.

It is an amenable number.

131694958404 is an abundant number, since it is smaller than the sum of its proper divisors (212598753897).

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

131694958404 is an frugal number, since it uses more digits than its factorization.

131694958404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40338 (or 20166 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 131694958404 in words is "one hundred thirty-one billion, six hundred ninety-four million, nine hundred fifty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 20161 40322 60483 80644 120966 181449 241932 362898 544347 725796 1088694 1633041 2177388 3266082 6532164 406465921 812931842 1219397763 1625863684 2438795526 3658193289 4877591052 7316386578 10974579867 14632773156 21949159734 32923739601 43898319468 65847479202 131694958404