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56404660514496 = 2637253919123091
BaseRepresentation
bin11001101001100101110111…
…10000001110111011000000
321101201020021202211212000220
430310302323300032323000
524343113221042430441
6315543535431343040
714611050032515200
oct1464627360167300
9241636252755026
1056404660514496
1116a7709a437408
1263ab726821a80
132561c23b08598
14dd000052a400
1567c334739466
hex334cbbc0eec0

56404660514496 has 336 divisors, whose sum is σ = 177072036975360. Its totient is φ = 15794215557120.

The previous prime is 56404660514453. The next prime is 56404660514539. The reversal of 56404660514496 is 69441506640465.

56404660514496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56404660514453) and next prime (56404660514539).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×564046605144962 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 458173911 + ... + 458297001.

Almost surely, 256404660514496 is an apocalyptic number.

56404660514496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56404660514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88536018487680).

56404660514496 is an abundant number, since it is smaller than the sum of its proper divisors (120667376460864).

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

56404660514496 is a wasteful number, since it uses less digits than its factorization.

56404660514496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124092 (or 124075 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 56404660514496 in words is "fifty-six trillion, four hundred four billion, six hundred sixty million, five hundred fourteen thousand, four hundred ninety-six".