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11793424976352 = 253253772630043
BaseRepresentation
bin1010101110011101111011…
…1010000000100111100000
31112202102220001201121110200
42223213132322000213200
53021210413243220402
641025454042225200
72325022031204235
oct253473672004740
945672801647420
1011793424976352
113837621a44068
1213a578a1b5200
13677166142596
142cab3a5a778c
15156b9262b21c
hexab9dee809e0

11793424976352 has 72 divisors (see below), whose sum is σ = 34170336325944. Its totient is φ = 3856969169664.

The previous prime is 11793424976279. The next prime is 11793424976381. The reversal of 11793424976352 is 25367942439711.

11793424976352 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 34 + 2 + 497 + 63 + 52 = 666.

11793424976352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11793424976352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386299758 + ... + 386330285.

It is an arithmetic number, because the mean of its divisors is an integer number (474588004527).

Almost surely, 211793424976352 is an apocalyptic number.

11793424976352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11793424976352 is an abundant number, since it is smaller than the sum of its proper divisors (22376911349592).

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

11793424976352 is a wasteful number, since it uses less digits than its factorization.

11793424976352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772630112 (or 772630101 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 11793424976352 in words is "eleven trillion, seven hundred ninety-three billion, four hundred twenty-four million, nine hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 772630043 1545260086 2317890129 3090520172 4635780258 6181040344 6953670387 9271560516 12362080688 13907340774 18543121032 24724161376 27814681548 37086242064 40949392279 55629363096 74172484128 81898784558 111258726192 122848176837 163797569116 222517452384 245696353674 327595138232 368544530511 491392707348 655190276464 737089061022 982785414696 1310380552928 1474178122044 1965570829392 2948356244088 3931141658784 5896712488176 11793424976352