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27024242304 = 2731725116493
BaseRepresentation
bin11001001010110001…
…010011011010000000
32120202100212202020010
4121022301103122000
5420321201223204
620225331144520
71644454161303
oct311261233200
976670782203
1027024242304
1110508531254
1252a2445140
132718a1ac27
141445152b3a
15a82772d89
hex64ac53680

27024242304 has 128 divisors (see below), whose sum is σ = 76313119680. Its totient is φ = 8443904000.

The previous prime is 27024242303. The next prime is 27024242347. The reversal of 27024242304 is 40324242072.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (27024242303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630282 + ... + 1646774.

Almost surely, 227024242304 is an apocalyptic number.

27024242304 is a gapful number since it is divisible by the number (24) 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 27024242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38156559840).

27024242304 is an abundant number, since it is smaller than the sum of its proper divisors (49288877376).

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

27024242304 is a wasteful number, since it uses less digits than its factorization.

27024242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16778 (or 16766 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

Adding to 27024242304 its reverse (40324242072), we get a palindrome (67348484376).

The spelling of 27024242304 in words is "twenty-seven billion, twenty-four million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 251 272 384 408 502 544 753 816 1004 1088 1506 1632 2008 2176 3012 3264 4016 4267 6024 6528 8032 8534 12048 12801 16064 16493 17068 24096 25602 32128 32986 34136 48192 49479 51204 65972 68272 96384 98958 102408 131944 136544 197916 204816 263888 273088 280381 395832 409632 527776 546176 560762 791664 819264 841143 1055552 1121524 1583328 1638528 1682286 2111104 2243048 3166656 3364572 4139743 4486096 6333312 6729144 8279486 8972192 12419229 13458288 16558972 17944384 24838458 26916576 33117944 35888768 49676916 53833152 66235888 70375631 99353832 107666304 132471776 140751262 198707664 211126893 264943552 281502524 397415328 422253786 529887104 563005048 794830656 844507572 1126010096 1589661312 1689015144 2252020192 3378030288 4504040384 6756060576 9008080768 13512121152 27024242304