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550705314564 = 22344573719273
BaseRepresentation
bin10000000001110001001…
…10000011101100000100
31221122110121012120120000
420000320212003230010
533010321030031224
61100553542041300
754533663636646
oct10007046035404
91848417176500
10550705314564
111a260987a849
128a892119230
133cc1506aba2
141c9234b2896
15e4d239a0c9
hex8038983b04

550705314564 has 60 divisors (see below), whose sum is σ = 1442803085724. Its totient is φ = 183166707456.

The previous prime is 550705314563. The next prime is 550705314583. The reversal of 550705314564 is 465413507055.

550705314564 is a `hidden beast` number, since 5 + 5 + 0 + 70 + 5 + 3 + 14 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 430018554564 + 120686760000 = 655758^2 + 347400^2 .

It is not an unprimeable number, because it can be changed into a prime (550705314563) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1711569 + ... + 2007704.

Almost surely, 2550705314564 is an apocalyptic number.

550705314564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

550705314564 is an abundant number, since it is smaller than the sum of its proper divisors (892097771160).

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

550705314564 is a wasteful number, since it uses less digits than its factorization.

550705314564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719746 (or 3719735 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 550705314564 in words is "five hundred fifty billion, seven hundred five million, three hundred fourteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 457 914 1371 1828 2742 4113 5484 8226 12339 16452 24678 37017 49356 74034 148068 3719273 7438546 11157819 14877092 22315638 33473457 44631276 66946914 100420371 133893828 200840742 301261113 401681484 602522226 1205044452 1699707761 3399415522 5099123283 6798831044 10198246566 15297369849 20396493132 30594739698 45892109547 61189479396 91784219094 137676328641 183568438188 275352657282 550705314564