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27157316508 = 223273117919421
BaseRepresentation
bin11001010010101100…
…111100001110011100
32121002122021121201100
4121102230330032130
5421104233112013
620250443313100
71650661244610
oct312254741634
977078247640
1027157316508
1110576662933
12531ab1b790
13273a471a6a
141458ab3340
15a8e2ac473
hex652b3c39c

27157316508 has 144 divisors (see below), whose sum is σ = 81441884160. Its totient is φ = 7466601600.

The previous prime is 27157316503. The next prime is 27157316513. The reversal of 27157316508 is 80561375172.

It is a happy number.

27157316508 is a `hidden beast` number, since 2 + 71 + 5 + 73 + 1 + 6 + 508 = 666.

It is an interprime number because it is at equal distance from previous prime (27157316503) and next prime (27157316513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27157316503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388638 + ... + 1408058.

It is an arithmetic number, because the mean of its divisors is an integer number (565568640).

Almost surely, 227157316508 is an apocalyptic number.

27157316508 is a gapful number since it is divisible by the number (28) 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 27157316508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40720942080).

27157316508 is an abundant number, since it is smaller than the sum of its proper divisors (54284567652).

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

27157316508 is a wasteful number, since it uses less digits than its factorization.

27157316508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648 (or 19643 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 27157316508 in words is "twenty-seven billion, one hundred fifty-seven million, three hundred sixteen thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 179 186 217 252 279 358 372 434 537 558 651 716 868 1074 1116 1253 1302 1611 1953 2148 2506 2604 3222 3759 3906 5012 5549 6444 7518 7812 11098 11277 15036 16647 19421 22196 22554 33294 38842 38843 45108 49941 58263 66588 77684 77686 99882 116526 116529 135947 155372 174789 199764 233052 233058 271894 349578 349587 407841 466116 543788 602051 699156 699174 815682 1204102 1223523 1398348 1631364 1806153 2408204 2447046 3476359 3612306 4214357 4894092 5418459 6952718 7224612 8428714 10429077 10836918 12643071 13905436 16857428 20858154 21673836 24334513 25286142 31287231 37929213 41716308 48669026 50572284 62574462 73003539 75858426 97338052 107767129 125148924 146007078 151716852 215534258 219010617 292014156 323301387 431068516 438021234 646602774 754369903 876042468 969904161 1293205548 1508739806 1939808322 2263109709 3017479612 3879616644 4526219418 6789329127 9052438836 13578658254 27157316508