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56224211616 = 253365074319
BaseRepresentation
bin110100010111001110…
…010110001010100000
312101010100202212211000
4310113032112022200
51410121344232431
641455023552000
74030200625206
oct642716261240
9171110685730
1056224211616
11219321133a1
12aa9145b600
1353c041c191
142a15225076
1516e101a9e6
hexd173962a0

56224211616 has 48 divisors (see below), whose sum is σ = 163987286400. Its totient is φ = 18741403584.

The previous prime is 56224211581. The next prime is 56224211621. The reversal of 56224211616 is 61611242265.

56224211616 is a `hidden beast` number, since 5 + 6 + 2 + 24 + 2 + 11 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×562242116162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32536296 + ... + 32538023.

It is an arithmetic number, because the mean of its divisors is an integer number (3416401800).

Almost surely, 256224211616 is an apocalyptic number.

It is an amenable number.

56224211616 is an abundant number, since it is smaller than the sum of its proper divisors (107763074784).

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

56224211616 is a wasteful number, since it uses less digits than its factorization.

56224211616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65074338 (or 65074324 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 56224211616 in words is "fifty-six billion, two hundred twenty-four million, two hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 65074319 130148638 195222957 260297276 390445914 520594552 585668871 780891828 1041189104 1171337742 1561783656 1757006613 2082378208 2342675484 3123567312 3514013226 4685350968 6247134624 7028026452 9370701936 14056052904 18741403872 28112105808 56224211616