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27030965088 = 2533725130319
BaseRepresentation
bin11001001011001010…
…111100101101100000
32120202211112022011010
4121023022330231200
5420324411340323
620230131220520
71644565261251
oct311312745540
976684468133
1027030965088
1110511303176
1252a4747740
13271a232bca
141445dc2b28
15a8314ec93
hex64b2bcb60

27030965088 has 96 divisors (see below), whose sum is σ = 73166768640. Its totient is φ = 8731584000.

The previous prime is 27030965063. The next prime is 27030965131. The reversal of 27030965088 is 88056903072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 876393 + ... + 906711.

It is an arithmetic number, because the mean of its divisors is an integer number (762153840).

Almost surely, 227030965088 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 27030965088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36583384320).

27030965088 is an abundant number, since it is smaller than the sum of its proper divisors (46135803552).

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

27030965088 is a wasteful number, since it uses less digits than its factorization.

27030965088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30620 (or 30612 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 27030965088 in words is "twenty-seven billion, thirty million, nine hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 251 296 444 502 592 753 888 1004 1184 1506 1776 2008 3012 3552 4016 6024 8032 9287 12048 18574 24096 27861 30319 37148 55722 60638 74296 90957 111444 121276 148592 181914 222888 242552 297184 363828 445776 485104 727656 891552 970208 1121803 1455312 2243606 2910624 3365409 4487212 6730818 7610069 8974424 13461636 15220138 17948848 22830207 26923272 30440276 35897696 45660414 53846544 60880552 91320828 107693088 121761104 182641656 243522208 281572553 365283312 563145106 730566624 844717659 1126290212 1689435318 2252580424 3378870636 4505160848 6757741272 9010321696 13515482544 27030965088