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108066358656 = 273410423067
BaseRepresentation
bin110010010100101000…
…0011100010110000000
3101022221022220211010000
41210221100130112000
53232304441434111
6121351153040000
710543661615064
oct1445120342600
9338838824100
10108066358656
1141915707813
1218b3b256000
13a262a17b29
14533247daa4
152c27491c56
hex192941c580

108066358656 has 80 divisors (see below), whose sum is σ = 321603763140. Its totient is φ = 36022116096.

The previous prime is 108066358601. The next prime is 108066358663. The reversal of 108066358656 is 656853660801.

108066358656 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 6 + 6 + 3 + 586 + 56 = 666.

It is a super-2 number, since 2×1080663586562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5201166 + ... + 5221901.

Almost surely, 2108066358656 is an apocalyptic number.

108066358656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

108066358656 is an abundant number, since it is smaller than the sum of its proper divisors (213537404484).

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

108066358656 is an equidigital number, since it uses as much as digits as its factorization.

108066358656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423093 (or 10423072 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 108066358656 in words is "one hundred eight billion, sixty-six million, three hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 10423067 20846134 31269201 41692268 62538402 83384536 93807603 125076804 166769072 187615206 250153608 281422809 333538144 375230412 500307216 562845618 667076288 750460824 844268427 1000614432 1125691236 1334152576 1500921648 1688536854 2001228864 2251382472 3001843296 3377073708 4002457728 4502764944 6003686592 6754147416 9005529888 12007373184 13508294832 18011059776 27016589664 36022119552 54033179328 108066358656