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53564955109344 = 253378856639403
BaseRepresentation
bin11000010110111100100000…
…00111110010011111100000
321000122202111211010200202000
430023132100013302133200
524010102012001444334
6305531222313324000
714165640344032320
oct1413362007623740
9230582454120660
1053564955109344
11160818517a6308
1260112b7106600
1323b71cc59ca93
14d327b4311280
1562d532775299
hex30b7901f27e0

53564955109344 has 96 divisors (see below), whose sum is σ = 178549850384640. Its totient is φ = 15304272886656.

The previous prime is 53564955109343. The next prime is 53564955109357. The reversal of 53564955109344 is 44390155946535.

It is a happy number.

53564955109344 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 49 + 551 + 0 + 9 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×535649551093442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53564955109343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4428313654 + ... + 4428325749.

It is an arithmetic number, because the mean of its divisors is an integer number (1859894274840).

Almost surely, 253564955109344 is an apocalyptic number.

53564955109344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53564955109344 is an abundant number, since it is smaller than the sum of its proper divisors (124984895275296).

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

53564955109344 is a wasteful number, since it uses less digits than its factorization.

53564955109344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856639429 (or 8856639415 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 63.

The spelling of 53564955109344 in words is "fifty-three trillion, five hundred sixty-four billion, nine hundred fifty-five million, one hundred nine thousand, three 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 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8856639403 17713278806 26569918209 35426557612 53139836418 61996475821 70853115224 79709754627 106279672836 123992951642 141706230448 159419509254 185989427463 212559345672 239129263881 247985903284 283412460896 318839018508 371978854926 425118691344 478258527762 495971806568 557968282389 637678037016 743957709852 850237382688 956517055524 991943613136 1115936564778 1275356074032 1487915419704 1673904847167 1913034111048 1983887226272 2231873129556 2550712148064 2975830839408 3347809694334 3826068222096 4463746259112 5951661678816 6695619388668 7652136444192 8927492518224 13391238777336 17854985036448 26782477554672 53564955109344