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56430046064400 = 2435247025038387
BaseRepresentation
bin11001101010010101001001…
…10110011010111100010000
321101210122210221020101212220
430311022210312122330100
524344022213243030100
6320003334424021040
714612636101235601
oct1465124466327420
9241718727211786
1056430046064400
1116a86936969818
1263b4630301780
13256443b194128
14dd132bb95da8
1567cd1d1b8aa0
hex3352a4d9af10

56430046064400 has 60 divisors (see below), whose sum is σ = 180764247563472. Its totient is φ = 15048012283520.

The previous prime is 56430046064347. The next prime is 56430046064501. The reversal of 56430046064400 is 446064003465.

It is a tau number, because it is divible by the number of its divisors (60).

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, 23512517994 + ... + 23512520393.

Almost surely, 256430046064400 is an apocalyptic number.

56430046064400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56430046064400 is an abundant number, since it is smaller than the sum of its proper divisors (124334201499072).

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

56430046064400 is a wasteful number, since it uses less digits than its factorization.

56430046064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47025038408 (or 47025038397 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 56430046064400 in words is "fifty-six trillion, four hundred thirty billion, forty-six million, sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 47025038387 94050076774 141075115161 188100153548 235125191935 282150230322 376200307096 470250383870 564300460644 705375575805 752400614192 940500767740 1128600921288 1175625959675 1410751151610 1881001535480 2257201842576 2351251919350 2821502303220 3526877879025 3762003070960 4702503838700 5643004606440 7053755758050 9405007677400 11286009212880 14107511516100 18810015354800 28215023032200 56430046064400