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64544044044546 = 23311112621964829
BaseRepresentation
bin11101010110011110101001…
…10100010101000100000010
322110112100110101221012212000
432223033110310111010002
531424442200233411141
6345135042520244430
716411103403140313
oct1653172464250402
9273470411835760
1064544044044546
1119624a80226790
1272a5099910716
132a0262864a3c1
1411d1d3c5a460a
1576de131ed5b6
hex3ab3d4d15102

64544044044546 has 64 divisors (see below), whose sum is σ = 156471961334400. Its totient is φ = 19558607284800.

The previous prime is 64544044044457. The next prime is 64544044044569.

64544044044546 is a `hidden beast` number, since 6 + 4 + 54 + 4 + 0 + 4 + 4 + 0 + 44 + 546 = 666.

64544044044546 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×645440440445462 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64544044044492 and 64544044044501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66414460 + ... + 67379288.

It is an arithmetic number, because the mean of its divisors is an integer number (2444874395850).

Almost surely, 264544044044546 is an apocalyptic number.

64544044044546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64544044044546 is an abundant number, since it is smaller than the sum of its proper divisors (91927917289854).

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

64544044044546 is a wasteful number, since it uses less digits than its factorization.

64544044044546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077472 (or 1077466 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 54.

The spelling of 64544044044546 in words is "sixty-four trillion, five hundred forty-four billion, forty-four million, forty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 112621 225242 337863 675726 964829 1013589 1238831 1929658 2027178 2477662 2894487 3040767 3716493 5788974 6081534 7432986 8683461 10613119 11149479 17366922 21226238 22298958 26050383 31839357 33448437 52100766 63678714 66896874 95518071 191036142 286554213 573108426 108660006809 217320013618 325980020427 651960040854 977940061281 1195260074899 1955880122562 2390520149798 2933820183843 3585780224697 5867640367686 7171560449394 10757340674091 21514681348182 32272022022273 64544044044546