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27312930432 = 27343184979
BaseRepresentation
bin11001011011111110…
…100011111010000000
32121111111002121220000
4121123332203322000
5421414102233212
620314122520000
71654561035534
oct313376437200
977444077800
1027312930432
1110646489987
125363066000
132763787cc8
14147161dbc4
15a9cc9a1dc
hex65bfa3e80

27312930432 has 160 divisors (see below), whose sum is σ = 83905852800. Its totient is φ = 8810519040.

The previous prime is 27312930419. The next prime is 27312930461. The reversal of 27312930432 is 23403921372.

27312930432 is a `hidden beast` number, since 2 + 7 + 312 + 9 + 304 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 278919 + ... + 363897.

It is an arithmetic number, because the mean of its divisors is an integer number (524411580).

Almost surely, 227312930432 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 27312930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41952926400).

27312930432 is an abundant number, since it is smaller than the sum of its proper divisors (56592922368).

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

27312930432 is an equidigital number, since it uses as much as digits as its factorization.

27312930432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85036 (or 85015 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 27312930432 in words is "twenty-seven billion, three hundred twelve million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 8928 10044 10368 11904 13392 17856 20088 26784 35712 40176 53568 80352 84979 107136 160704 169958 254937 321408 339916 509874 679832 764811 1019748 1359664 1529622 2039496 2294433 2634349 2719328 3059244 4078992 4588866 5268698 5438656 6118488 6883299 7903047 8157984 9177732 10537396 10877312 12236976 13766598 15806094 16315968 18355464 21074792 23709141 24473952 27533196 31612188 32631936 36710928 42149584 47418282 48947904 55066392 63224376 71127423 73421856 84299168 94836564 97895808 110132784 126448752 142254846 146843712 168598336 189673128 213382269 220265568 252897504 284509692 293687424 337196672 379346256 426764538 440531136 505795008 569019384 758692512 853529076 881062272 1011590016 1138038768 1517385024 1707058152 2276077536 3034770048 3414116304 4552155072 6828232608 9104310144 13656465216 27312930432