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28364996834640 = 2433513131942979
BaseRepresentation
bin1100111001100001111011…
…00011110111010101010000
310201102200000101210020112000
412130300331203313111100
512204213003142202030
6140154411043034000
75655206030653314
oct634607543672520
9121380011706460
1028364996834640
11904658926a434
1232213b006b900
1312a9a6675485b
14700c31dabb44
15342c8a73b860
hex19cc3d8f7550

28364996834640 has 80 divisors (see below), whose sum is σ = 97701655771200. Its totient is φ = 7563999155328.

The previous prime is 28364996834623. The next prime is 28364996834717. The reversal of 28364996834640 is 4643869946382.

28364996834640 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 499 + 68 + 34 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6565969330 + ... + 6565973649.

It is an arithmetic number, because the mean of its divisors is an integer number (1221270697140).

Almost surely, 228364996834640 is an apocalyptic number.

28364996834640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28364996834640 is an abundant number, since it is smaller than the sum of its proper divisors (69336658936560).

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

28364996834640 is a wasteful number, since it uses less digits than its factorization.

28364996834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131943001 (or 13131942989 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 28364996834640 in words is "twenty-eight trillion, three hundred sixty-four billion, nine hundred ninety-six million, eight hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 13131942979 26263885958 39395828937 52527771916 65659714895 78791657874 105055543832 118187486811 131319429790 157583315748 196979144685 210111087664 236374973622 262638859580 315166631496 354562460433 393958289370 472749947244 525277719160 590937434055 630333262992 709124920866 787916578740 945499894488 1050555438320 1181874868110 1418249841732 1575833157480 1772812302165 1890999788976 2363749736220 2836499683464 3151666314960 3545624604330 4727499472440 5672999366928 7091249208660 9454998944880 14182498417320 28364996834640