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13881282396732 = 22321787215775701
BaseRepresentation
bin1100100111111111110011…
…1010000000001000111100
31211011001000102210211212100
43021333330322000020330
53304412331243143412
645304550104505100
72631614055361122
oct311777472001074
954131012724770
1013881282396732
114472023035183
12168235147b190
13798ccb65031a
1435dc01583912
1519113d80bedc
hexc9ffce8023c

13881282396732 has 36 divisors (see below), whose sum is σ = 35108432921016. Its totient is φ = 4624504802400.

The previous prime is 13881282396713. The next prime is 13881282396733. The reversal of 13881282396732 is 23769328218831.

13881282396732 is a `hidden beast` number, since 1 + 388 + 12 + 8 + 239 + 6 + 7 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×138812823967323 (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13881282396732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13881282396733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107823519 + ... + 107952182.

It is an arithmetic number, because the mean of its divisors is an integer number (975234247806).

Almost surely, 213881282396732 is an apocalyptic number.

13881282396732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13881282396732 is an abundant number, since it is smaller than the sum of its proper divisors (21227150524284).

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

13881282396732 is a wasteful number, since it uses less digits than its factorization.

13881282396732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215777498 (or 215777493 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 13881282396732 in words is "thirteen trillion, eight hundred eighty-one billion, two hundred eighty-two million, three hundred ninety-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1787 3574 5361 7148 10722 16083 21444 32166 64332 215775701 431551402 647327103 863102804 1294654206 1941981309 2589308412 3883962618 7767925236 385591177687 771182355374 1156773533061 1542364710748 2313547066122 3470320599183 4627094132244 6940641198366 13881282396732