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56752763383953 = 32721353787237331
BaseRepresentation
bin11001110011101110010000…
…10011010011000010010001
321102221111210122210211112200
430321313020103103002101
524414314124411241303
6320411505400113413
714645152245214500
oct1471671023230221
9242844718724480
1056752763383953
11170a079143047a
126447095765869
1325889bb639450
141002bc4040837
15686409e4a3a3
hex339dc84d3091

56752763383953 has 144 divisors (see below), whose sum is σ = 104766520412736. Its totient is φ = 29333258922240.

The previous prime is 56752763383951. The next prime is 56752763383963. The reversal of 56752763383953 is 35938336725765.

56752763383953 is a `hidden beast` number, since 5 + 6 + 7 + 527 + 6 + 3 + 3 + 8 + 3 + 95 + 3 = 666.

It is not a de Polignac number, because 56752763383953 - 21 = 56752763383951 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56752763383951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239010498 + ... + 239247828.

It is an arithmetic number, because the mean of its divisors is an integer number (727545280644).

Almost surely, 256752763383953 is an apocalyptic number.

56752763383953 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

56752763383953 is a deficient number, since it is larger than the sum of its proper divisors (48013757028783).

56752763383953 is a wasteful number, since it uses less digits than its factorization.

56752763383953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238204 (or 238194 counting only the distinct ones).

The product of its digits is 2571912000, while the sum is 72.

The spelling of 56752763383953 in words is "fifty-six trillion, seven hundred fifty-two billion, seven hundred sixty-three million, three hundred eighty-three thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 13 21 39 49 53 63 91 117 147 159 273 371 441 477 637 689 787 819 1113 1911 2067 2361 2597 3339 4823 5509 5733 6201 7083 7791 10231 14469 16527 23373 30693 33761 38563 41711 43407 49581 71617 92079 101283 115689 125133 214851 237331 291977 303849 347067 375399 501319 542243 644553 711993 875931 1503957 1626729 1661317 2043839 2135979 2627793 3085303 3795701 4511871 4880187 4983951 6131517 9255909 11387103 11629219 12578543 14951853 18394551 21597121 26569907 27767727 34161309 34887657 37735629 64791363 79709721 88049801 104662971 113206887 151179847 163521059 186779497 194374089 239129163 264149403 453539541 490563177 560338491 616348607 792448209 1144647413 1307456479 1360618623 1471689531 1681015473 1849045821 2428133461 3433942239 3922369437 5547137463 7284400383 8012531891 9152195353 9899313341 10301826717 11767108311 16996934227 21853201149 24037595673 27456586059 29697940023 50990802681 69295193387 72112787019 82369758177 89093820069 118978539589 128691073433 152972408043 207885580161 356935618767 386073220299 485066353709 623656740483 900837514031 1070806856301 1158219660897 1455199061127 2702512542093 4365597183381 6305862598217 8107537626279 18917587794651 56752763383953