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56221772544 = 283371161991
BaseRepresentation
bin110100010111000101…
…000010101100000000
312101010012011222001000
4310113011002230000
51410120233210134
641454455412000
74030141116210
oct642705025400
9171105158030
1056221772544
11219307a7933
12aa90684000
1353bca76c42
142a14b8c240
1516e0bd7e99
hexd17142b00

56221772544 has 144 divisors (see below), whose sum is σ = 190008931840. Its totient is φ = 16063349760.

The previous prime is 56221772531. The next prime is 56221772567. The reversal of 56221772544 is 44527712265.

56221772544 is a `hidden beast` number, since 5 + 6 + 22 + 17 + 72 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 56221772544.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 532612 + ... + 629379.

Almost surely, 256221772544 is an apocalyptic number.

56221772544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56221772544 is an abundant number, since it is smaller than the sum of its proper divisors (133787159296).

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

56221772544 is a wasteful number, since it uses less digits than its factorization.

56221772544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162023 (or 1162003 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 56221772544 in words is "fifty-six billion, two hundred twenty-one million, seven hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 1161991 2323982 3485973 4647964 6971946 8133937 9295928 10457919 13943892 16267874 18591856 20915838 24401811 27887784 31373757 32535748 37183712 41831676 48803622 55775568 62747514 65071496 73205433 74367424 83663352 97607244 111551136 125495028 130142992 146410866 148734848 167326704 195214488 219616299 223102272 250990056 260285984 292821732 297469696 334653408 390428976 439232598 446204544 501980112 520571968 585643464 669306816 780857952 878465196 892409088 1003960224 1041143936 1171286928 1338613632 1561715904 1756930392 2007920448 2082287872 2342573856 2677227264 3123431808 3513860784 4015840896 4685147712 6246863616 7027721568 8031681792 9370295424 14055443136 18740590848 28110886272 56221772544