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132167281607257 = 1324723996936001
BaseRepresentation
bin11110000011010010010111…
…110111110000001001011001
3122022222001212002201021001111
4132003102113313300021121
5114310412043042413012
61145032451100220321
736560525306335441
oct3603222767601131
9568861762637044
10132167281607257
1139126913967506
12129a6aa323a6a1
13589942381a200
14248cd05665121
151042e93406ba7
hex783497df0259

132167281607257 has 24 divisors (see below), whose sum is σ = 146222019763200. Its totient is φ = 119355020928000.

The previous prime is 132167281607237. The next prime is 132167281607269. The reversal of 132167281607257 is 752706182761231.

It is a de Polignac number, because none of the positive numbers 2k-132167281607257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132167281607237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15587257 + ... + 22523257.

It is an arithmetic number, because the mean of its divisors is an integer number (6092584156800).

Almost surely, 2132167281607257 is an apocalyptic number.

It is an amenable number.

132167281607257 is a deficient number, since it is larger than the sum of its proper divisors (14054738155943).

132167281607257 is a wasteful number, since it uses less digits than its factorization.

132167281607257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938473 (or 6938460 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 132167281607257 in words is "one hundred thirty-two trillion, one hundred sixty-seven billion, two hundred eighty-one million, six hundred seven thousand, two hundred fifty-seven".

Divisors: 1 13 47 169 611 2399 7943 31187 112753 405431 1465789 6936001 19055257 90168013 325992047 1172184169 4237896611 16639466399 55092655943 216313063187 782054920753 2812069821431 10166713969789 132167281607257