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63144643061664 = 2532219252232853
BaseRepresentation
bin11100101101110000000100…
…00001001110011110100000
322021120120100202002122101100
432112320002001032132200
531234030212110433124
6342144125404434400
716205023056063663
oct1626700201163640
9267516322078340
1063144643061664
111913554691596a
1270b9a31248a00
13293068bb86938
1411843077676da
1574780c9651c9
hex396e0204e7a0

63144643061664 has 36 divisors (see below), whose sum is σ = 179567578707426. Its totient is φ = 21048214353792.

The previous prime is 63144643061663. The next prime is 63144643061677. The reversal of 63144643061664 is 46616034644136.

63144643061664 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 46 + 430 + 6 + 166 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62212530050064 + 932113011600 = 7887492^2 + 965460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63144643061664.

It is not an unprimeable number, because it can be changed into a prime (63144643061663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109626116139 + ... + 109626116714.

Almost surely, 263144643061664 is an apocalyptic number.

It is an amenable number.

63144643061664 is an abundant number, since it is smaller than the sum of its proper divisors (116422935645762).

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

63144643061664 is a wasteful number, since it uses less digits than its factorization.

63144643061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219252232869 (or 219252232858 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 63144643061664 in words is "sixty-three trillion, one hundred forty-four billion, six hundred forty-three million, sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 219252232853 438504465706 657756698559 877008931412 1315513397118 1754017862824 1973270095677 2631026794236 3508035725648 3946540191354 5262053588472 7016071451296 7893080382708 10524107176944 15786160765416 21048214353888 31572321530832 63144643061664