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6441926091264 = 2934155331937
BaseRepresentation
bin101110110111110000010…
…1101110110001000000000
3211210211201220110000220000
41131233200231312020000
51321021031034410024
621411214024520000
71233261635211336
oct135574055661000
924724656400800
106441926091264
112064007379754
128805a4020000
13379617abb061
14183b10299b56
15b28814cbcc9
hex5dbe0b76200

6441926091264 has 100 divisors (see below), whose sum is σ = 19227453281454. Its totient is φ = 2147308683264.

The previous prime is 6441926091257. The next prime is 6441926091281. The reversal of 6441926091264 is 4621906291446.

6441926091264 is a `hidden beast` number, since 6 + 4 + 4 + 1 + 9 + 2 + 609 + 1 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6381646020864 + 60280070400 = 2526192^2 + 245520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6441926091264.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77624497 + ... + 77707440.

Almost surely, 26441926091264 is an apocalyptic number.

6441926091264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6441926091264 is an abundant number, since it is smaller than the sum of its proper divisors (12785527190190).

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

6441926091264 is an equidigital number, since it uses as much as digits as its factorization.

6441926091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155331967 (or 155331942 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6441926091264 in words is "six trillion, four hundred forty-one billion, nine hundred twenty-six million, ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 155331937 310663874 465995811 621327748 931991622 1242655496 1397987433 1863983244 2485310992 2795974866 3727966488 4193962299 4970621984 5591949732 7455932976 8387924598 9941243968 11183899464 12581886897 14911865952 16775849196 19882487936 22367798928 25163773794 29823731904 33551698392 39764975872 44735597856 50327547588 59647463808 67103396784 79529951744 89471195712 100655095176 119294927616 134206793568 178942391424 201310190352 238589855232 268413587136 357884782848 402620380704 536827174272 715769565696 805240761408 1073654348544 1610481522816 2147308697088 3220963045632 6441926091264