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13464312768 = 263271329233
BaseRepresentation
bin11001000101000100…
…10001101111000000
31021202100110221211200
430202202101233000
5210033331002033
610104014541200
7654441525114
oct144242215700
937670427750
1013464312768
11578a287515
122739207800
13136764029a
1491a2b1744
1553c0bb013
hex322891bc0

13464312768 has 84 divisors (see below), whose sum is σ = 39136704048. Its totient is φ = 4424878080.

The previous prime is 13464312767. The next prime is 13464312773. The reversal of 13464312768 is 86721346431.

13464312768 is a `hidden beast` number, since 1 + 3 + 464 + 3 + 127 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13464312767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 123721 + ... + 205512.

Almost surely, 213464312768 is an apocalyptic number.

13464312768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13464312768 is an abundant number, since it is smaller than the sum of its proper divisors (25672391280).

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

13464312768 is a wasteful number, since it uses less digits than its factorization.

13464312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329322 (or 329309 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 13464312768 in words is "thirteen billion, four hundred sixty-four million, three hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 10224 13632 20448 40896 329233 658466 987699 1316932 1975398 2633864 2963097 3950796 5267728 5926194 7901592 10535456 11852388 15803184 21070912 23375543 23704776 31606368 46751086 47409552 63212736 70126629 93502172 94819104 140253258 187004344 189638208 210379887 280506516 374008688 420759774 561013032 748017376 841519548 1122026064 1496034752 1683039096 2244052128 3366078192 4488104256 6732156384 13464312768