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27157021752120 = 233513120114494877
BaseRepresentation
bin1100010110010111111001…
…01000100111101100111000
310120011012000112112221222220
412023023330220213230320
512024420040032031440
6133431432532444040
75502013213116651
oct613137450475470
9116135015487886
1027157021752120
118720256884857
123067267779620
13121cb85b3c510
1469c59a624528
1532163a8288d0
hex18b2fca27b38

27157021752120 has 128 divisors (see below), whose sum is σ = 87811130514240. Its totient is φ = 6679238860800.

The previous prime is 27157021752067. The next prime is 27157021752127. The reversal of 27157021752120 is 2125712075172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27157021752127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5373879 + ... + 9120998.

Almost surely, 227157021752120 is an apocalyptic number.

27157021752120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27157021752120 is an abundant number, since it is smaller than the sum of its proper divisors (60654108762120).

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

27157021752120 is a wasteful number, since it uses less digits than its factorization.

27157021752120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14496105 (or 14496101 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 42.

The spelling of 27157021752120 in words is "twenty-seven trillion, one hundred fifty-seven billion, twenty-one million, seven hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1201 1560 2402 3603 4804 6005 7206 9608 12010 14412 15613 18015 24020 28824 31226 36030 46839 48040 62452 72060 78065 93678 124904 144120 156130 187356 234195 312260 374712 468390 624520 936780 1873560 14494877 28989754 43484631 57979508 72474385 86969262 115959016 144948770 173938524 188433401 217423155 289897540 347877048 376866802 434846310 565300203 579795080 753733604 869692620 942167005 1130600406 1507467208 1739385240 1884334010 2261200812 2826501015 3768668020 4522401624 5653002030 7537336040 11306004060 17408347277 22612008120 34816694554 52225041831 69633389108 87041736385 104450083662 139266778216 174083472770 208900167324 226308514601 261125209155 348166945540 417800334648 452617029202 522250418310 678925543803 696333891080 905234058404 1044500836620 1131542573005 1357851087606 1810468116808 2089001673240 2263085146010 2715702175212 3394627719015 4526170292020 5431404350424 6789255438030 9052340584040 13578510876060 27157021752120