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27100942088 = 231121710211613
BaseRepresentation
bin11001001111010101…
…111000111100001000
32120221201012111112212
4121033111320330020
5421000320121323
620241111124252
71646405130653
oct311725707410
976851174485
1027100942088
1110547858a00
125304073688
13272b89410c
1414513da89a
15a89373b78
hex64f578f08

27100942088 has 96 divisors (see below), whose sum is σ = 59233832280. Its totient is φ = 11575449600.

The previous prime is 27100942061. The next prime is 27100942097. The reversal of 27100942088 is 88024900172.

It can be written as a sum of positive squares in 4 ways, for example, as 26568348004 + 532594084 = 162998^2 + 23078^2 .

It is a super-2 number, since 2×271009420882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16800770 + ... + 16802382.

Almost surely, 227100942088 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 27100942088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29616916140).

27100942088 is an abundant number, since it is smaller than the sum of its proper divisors (32132890192).

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

27100942088 is a wasteful number, since it uses less digits than its factorization.

27100942088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 27100942088 in words is "twenty-seven billion, one hundred million, nine hundred forty-two thousand, eighty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1021 1496 1613 2042 2057 3226 4084 4114 6452 8168 8228 11231 12904 16456 17357 17743 22462 27421 34714 35486 44924 54842 69428 70972 89848 109684 123541 138856 141944 190927 195173 219368 247082 301631 381854 390346 494164 603262 763708 780692 988328 1206524 1527416 1561384 1646873 2100197 2413048 3293746 3317941 4200394 6587492 6635882 8400788 13174984 13271764 16801576 18115603 26543528 27996841 36231206 55993682 72462412 111987364 144924824 199271633 223974728 307965251 398543266 615930502 797086532 1231861004 1594173064 2463722008 3387617761 6775235522 13550471044 27100942088