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27137391156 = 22322333199017
BaseRepresentation
bin11001010001100000…
…111011101000110100
32121001020210022021100
4121101200323220310
5421034133004111
620244452250100
71650330006321
oct312140735064
977036708240
1027137391156
11105663936a7
125314310930
1327362b6605
1414561a7b48
15a8c673756
hex65183ba34

27137391156 has 72 divisors (see below), whose sum is σ = 71796763584. Its totient is φ = 8626273920.

The previous prime is 27137391137. The next prime is 27137391157. The reversal of 27137391156 is 65119373172.

27137391156 is a `hidden beast` number, since 271 + 373 + 9 + 1 + 1 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27137391157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224560 + ... + 323576.

It is an arithmetic number, because the mean of its divisors is an integer number (997177272).

Almost surely, 227137391156 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 27137391156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35898381792).

27137391156 is an abundant number, since it is smaller than the sum of its proper divisors (44659372428).

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

27137391156 is a wasteful number, since it uses less digits than its factorization.

27137391156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99381 (or 99376 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The spelling of 27137391156 in words is "twenty-seven billion, one hundred thirty-seven million, three hundred ninety-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 331 414 662 828 993 1324 1986 2979 3972 5958 7613 11916 15226 22839 30452 45678 68517 91356 99017 137034 198034 274068 297051 396068 594102 891153 1188204 1782306 2277391 3564612 4554782 6832173 9109564 13664346 20496519 27328692 32774627 40993038 65549254 81986076 98323881 131098508 196647762 294971643 393295524 589943286 753816421 1179886572 1507632842 2261449263 3015265684 4522898526 6784347789 9045797052 13568695578 27137391156