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56541364344 = 23324716708441
BaseRepresentation
bin110100101010001000…
…001100000001111000
312101221110112220120100
4310222020030001320
51411244042124334
641550313355400
74041101444553
oct645210140170
9171843486510
1056541364344
1121a85142993
12ab5b708b60
13544104440a
142a453c169a
15170dcb6c99
hexd2a20c078

56541364344 has 48 divisors (see below), whose sum is σ = 156391017120. Its totient is φ = 18446117760.

The previous prime is 56541364343. The next prime is 56541364423. The reversal of 56541364344 is 44346314565.

56541364344 is a `hidden beast` number, since 5 + 6 + 541 + 3 + 64 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56541364344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56541364343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8350837 + ... + 8357604.

It is an arithmetic number, because the mean of its divisors is an integer number (3258146190).

Almost surely, 256541364344 is an apocalyptic number.

It is an amenable number.

56541364344 is an abundant number, since it is smaller than the sum of its proper divisors (99849652776).

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

56541364344 is a wasteful number, since it uses less digits than its factorization.

56541364344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16708500 (or 16708493 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 56541364344 in words is "fifty-six billion, five hundred forty-one million, three hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 16708441 33416882 50125323 66833764 100250646 133667528 150375969 200501292 300751938 401002584 601503876 785296727 1203007752 1570593454 2355890181 3141186908 4711780362 6282373816 7067670543 9423560724 14135341086 18847121448 28270682172 56541364344