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56702225664 = 283371171921
BaseRepresentation
bin110100110011101101…
…110100110100000000
312102100200020111211000
4310303231310310000
51412111232210124
642014301252000
74045063652160
oct646355646400
9172320214730
1056702225664
1122057a23427
12aba5564000
135468476c26
142a5c8d65a0
15171ce8e6c9
hexd33b74d00

56702225664 has 144 divisors (see below), whose sum is σ = 191632685440. Its totient is φ = 16200622080.

The previous prime is 56702225647. The next prime is 56702225677. The reversal of 56702225664 is 46652220765.

56702225664 is a `hidden beast` number, since 5 + 67 + 0 + 2 + 22 + 566 + 4 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 537577 + ... + 634344.

Almost surely, 256702225664 is an apocalyptic number.

56702225664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56702225664 is an abundant number, since it is smaller than the sum of its proper divisors (134930459776).

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

56702225664 is a wasteful number, since it uses less digits than its factorization.

56702225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171953 (or 1171933 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 56702225664 in words is "fifty-six billion, seven hundred two million, two hundred twenty-five thousand, six hundred sixty-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 1171921 2343842 3515763 4687684 7031526 8203447 9375368 10547289 14063052 16406894 18750736 21094578 24610341 28126104 31641867 32813788 37501472 42189156 49220682 56252208 63283734 65627576 73831023 75002944 84378312 98441364 112504416 126567468 131255152 147662046 150005888 168756624 196882728 221493069 225008832 253134936 262510304 295324092 300011776 337513248 393765456 442986138 450017664 506269872 525020608 590648184 675026496 787530912 885972276 900035328 1012539744 1050041216 1181296368 1350052992 1575061824 1771944552 2025079488 2100082432 2362592736 2700105984 3150123648 3543889104 4050158976 4725185472 6300247296 7087778208 8100317952 9450370944 14175556416 18900741888 28351112832 56702225664