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157171168 = 25711227281
BaseRepresentation
bin10010101111000…
…11110111100000
3101221202010022101
421113203313200
5310213434133
623332420144
73615634660
oct1127436740
9357663271
10157171168
11807a0030
1244777654
132673ccbb
1416c341a0
15dbe937d
hex95e3de0

157171168 has 96 divisors (see below), whose sum is σ = 388862208. Its totient is φ = 60748800.

The previous prime is 157171141. The next prime is 157171187. The reversal of 157171168 is 861171751.

157171168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 559188 + ... + 559468.

It is an arithmetic number, because the mean of its divisors is an integer number (4050648).

Almost surely, 2157171168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157171168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194431104).

157171168 is an abundant number, since it is smaller than the sum of its proper divisors (231691040).

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

157171168 is a wasteful number, since it uses less digits than its factorization.

157171168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 11760, while the sum is 37.

The square root of 157171168 is about 12536.7925722650. The cubic root of 157171168 is about 539.6650506265.

The spelling of 157171168 in words is "one hundred fifty-seven million, one hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 227 281 308 352 454 562 616 908 1124 1232 1589 1816 1967 2248 2464 2497 3091 3178 3632 3934 4496 4994 6182 6356 7264 7868 8992 9988 12364 12712 15736 17479 19976 21637 24728 25424 31472 34958 39952 43274 49456 50848 62944 63787 69916 79904 86548 98912 127574 139832 173096 255148 279664 346192 446509 510296 559328 692384 701657 893018 1020592 1403314 1786036 2041184 2806628 3572072 4911599 5613256 7144144 9823198 11226512 14288288 19646396 22453024 39292792 78585584 157171168