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3299307451368 = 23317411201116421
BaseRepresentation
bin110000000000101110000…
…011000111001111101000
3102200102002102001012001220
4300000232003013033220
5413023440201420433
611003403024542040
7460236625421265
oct60005603071750
912612072035056
103299307451368
111062257052a35
12453517481920
131ac17b02ac06
14b598a08026c
155ac512032b3
hex3002e0c73e8

3299307451368 has 128 divisors (see below), whose sum is σ = 8947761863040. Its totient is φ = 1009685504000.

The previous prime is 3299307451333. The next prime is 3299307451387. The reversal of 3299307451368 is 8631547039923.

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 31 ways as a sum of consecutive naturals, for example, 200911798 + ... + 200928218.

It is an arithmetic number, because the mean of its divisors is an integer number (69904389555).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3299307451368 = 6598614902736, but 3⋅3299307451368 = 9897922354104 is not.

Almost surely, 23299307451368 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 3299307451368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473880931520).

3299307451368 is an abundant number, since it is smaller than the sum of its proper divisors (5648454411672).

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

3299307451368 is a wasteful number, since it uses less digits than its factorization.

3299307451368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28499 (or 28495 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 3299307451368 in words is "three trillion, two hundred ninety-nine billion, three hundred seven million, four hundred fifty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 4182 5576 8364 12011 16421 16728 24022 32842 36033 48044 49263 65684 72066 96088 98526 131368 144132 197052 204187 279157 288264 394104 408374 492451 558314 612561 673261 816748 837471 984902 1116628 1225122 1346522 1477353 1633496 1674942 1969804 2019783 2233256 2450244 2693044 2954706 3349884 3939608 4039566 4900488 5386088 5909412 6699768 8079132 8371667 11445437 11818824 16158264 16743334 22890874 25115001 33486668 34336311 45781748 50230002 66973336 68672622 91563496 100460004 137345244 197232631 200920008 274690488 394465262 591697893 788930524 1183395786 1577861048 2366791572 3352954727 4733583144 6705909454 8086537871 10058864181 13411818908 16173075742 20117728362 24259613613 26823637816 32346151484 40235456724 48519227226 64692302968 80470913448 97038454452 137471143807 194076908904 274942287614 412413431421 549884575228 824826862842 1099769150456 1649653725684 3299307451368