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80368006464 = 2633172735839
BaseRepresentation
bin100101011011001001…
…1100111010101000000
321200102222120201222000
41022312103213111000
52304043202201324
6100530501144000
75543410532514
oct1126623472500
9250388521860
1080368006464
11310a170a859
12136ab0bb000
13776a453c15
143c659b2144
1521559629c9
hex12b64e7540

80368006464 has 112 divisors (see below), whose sum is σ = 250165209600. Its totient is φ = 25213483008.

The previous prime is 80368006429. The next prime is 80368006469. The reversal of 80368006464 is 46460086308.

80368006464 is a `hidden beast` number, since 80 + 36 + 80 + 0 + 6 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80368006469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1338544 + ... + 1397295.

Almost surely, 280368006464 is an apocalyptic number.

It is an amenable number.

80368006464 is an abundant number, since it is smaller than the sum of its proper divisors (169797203136).

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

80368006464 is a wasteful number, since it uses less digits than its factorization.

80368006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735877 (or 2735861 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 80368006464 in words is "eighty billion, three hundred sixty-eight million, six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 2735839 5471678 8207517 10943356 16415034 21886712 24622551 32830068 43773424 46509263 49245102 65660136 73867653 87546848 93018526 98490204 131320272 139527789 147735306 175093696 186037052 196980408 262640544 279055578 295470612 372074104 393960816 418583367 525281088 558111156 590941224 744148208 787921632 837166734 1116222312 1181882448 1255750101 1488296416 1575843264 1674333468 2232444624 2363764896 2511500202 2976592832 3348666936 4464889248 4727529792 5023000404 6697333872 8929778496 10046000808 13394667744 20092001616 26789335488 40184003232 80368006464