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56222484192 = 2532727888137
BaseRepresentation
bin110100010111000111…
…110000011011100000
312101010020112010020100
4310113013300123200
51410120423443232
641454522542400
74030150142040
oct642707603340
9171106463210
1056222484192
1121931143576
12aa90967a00
1353bcc65b34
142a14cd5720
1516e0cc8c7c
hexd171f06e0

56222484192 has 72 divisors (see below), whose sum is σ = 182723080176. Its totient is φ = 16063566336.

The previous prime is 56222484137. The next prime is 56222484247. The reversal of 56222484192 is 29148422265.

56222484192 is a `hidden beast` number, since 5 + 6 + 2 + 224 + 8 + 419 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56222484137) and next prime (56222484247).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13942053 + ... + 13946084.

It is an arithmetic number, because the mean of its divisors is an integer number (2537820558).

Almost surely, 256222484192 is an apocalyptic number.

It is an amenable number.

56222484192 is an abundant number, since it is smaller than the sum of its proper divisors (126500595984).

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

56222484192 is a wasteful number, since it uses less digits than its factorization.

56222484192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27888160 (or 27888149 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

It can be divided in two parts, 562224 and 84192, that added together give a square (646416 = 8042).

The spelling of 56222484192 in words is "fifty-six billion, two hundred twenty-two million, four hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 27888137 55776274 83664411 111552548 167328822 195216959 223105096 250993233 334657644 390433918 446210192 501986466 585650877 669315288 780867836 892420384 1003972932 1171301754 1338630576 1561735672 1756952631 2007945864 2342603508 2677261152 3123471344 3513905262 4015891728 4685207016 6246942688 7027810524 8031783456 9370414032 14055621048 18740828064 28111242096 56222484192