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171157664 = 256797823
BaseRepresentation
bin10100011001110…
…10100010100000
3102221001201011202
422030322202200
5322304021124
624552300332
74145546636
oct1214724240
9387051152
10171157664
1188683317
12493a16a8
13295c9232
1418a35356
151005d5ae
hexa33a8a0

171157664 has 48 divisors (see below), whose sum is σ = 345941568. Its totient is φ = 83331072.

The previous prime is 171157639. The next prime is 171157669. The reversal of 171157664 is 466751171.

171157664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (171157669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207557 + ... + 208379.

It is an arithmetic number, because the mean of its divisors is an integer number (7207116).

Almost surely, 2171157664 is an apocalyptic number.

It is an amenable number.

171157664 is an abundant number, since it is smaller than the sum of its proper divisors (174783904).

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

171157664 is an equidigital number, since it uses as much as digits as its factorization.

171157664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 171157664 is about 13082.7238754015. The cubic root of 171157664 is about 555.2204453931.

The spelling of 171157664 in words is "one hundred seventy-one million, one hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 67 97 134 194 268 388 536 776 823 1072 1552 1646 2144 3104 3292 6499 6584 12998 13168 25996 26336 51992 55141 79831 103984 110282 159662 207968 220564 319324 441128 638648 882256 1277296 1764512 2554592 5348677 10697354 21394708 42789416 85578832 171157664