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168857538160 = 24531156743451
BaseRepresentation
bin1001110101000010110…
…0011000111001110000
3121010211222020201002211
42131100230120321300
510231310012210120
6205323323021504
715125306251423
oct2352054307160
9533758221084
10168857538160
1165680750733
122888606a894
1312c0035a16c
14825c0439ba
1545d43c825a
hex2750b18e70

168857538160 has 80 divisors (see below), whose sum is σ = 405526044672. Its totient is φ = 65320992000.

The previous prime is 168857538151. The next prime is 168857538167. The reversal of 168857538160 is 61835758861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 168857538095 and 168857538104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168857538167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3864435 + ... + 3907885.

Almost surely, 2168857538160 is an apocalyptic number.

168857538160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168857538160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202763022336).

168857538160 is an abundant number, since it is smaller than the sum of its proper divisors (236668506512).

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

168857538160 is a wasteful number, since it uses less digits than its factorization.

168857538160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45062 (or 45056 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 168857538160 in words is "one hundred sixty-eight billion, eight hundred fifty-seven million, five hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1567 2480 3134 6268 7835 12536 15670 25072 31340 43451 48577 62680 86902 97154 125360 173804 194308 217255 242885 347608 388616 434510 485770 695216 777232 869020 971540 1346981 1738040 1943080 2693962 3476080 3886160 5387924 6734905 10775848 13469810 21551696 26939620 53879240 68087717 107758480 136175434 272350868 340438585 544701736 680877170 1089403472 1361754340 2110719227 2723508680 4221438454 5447017360 8442876908 10553596135 16885753816 21107192270 33771507632 42214384540 84428769080 168857538160