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64126405644 = 22372671627739
BaseRepresentation
bin111011101110001110…
…110100110000001100
320010112002010221010220
4323232032310300030
52022312324440034
645243111231340
74430053311600
oct735616646014
9203462127126
1064126405644
1125217758764
1210517978550
13607c609332
14316490d500
151a04b46749
hexeee3b4c0c

64126405644 has 72 divisors (see below), whose sum is σ = 176655366720. Its totient is φ = 18048358944.

The previous prime is 64126405571. The next prime is 64126405691. The reversal of 64126405644 is 44650462146.

It is a super-2 number, since 2×641264056442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 64126405596 and 64126405605.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 774474 + ... + 853265.

It is an arithmetic number, because the mean of its divisors is an integer number (2453546760).

Almost surely, 264126405644 is an apocalyptic number.

It is an amenable number.

64126405644 is an abundant number, since it is smaller than the sum of its proper divisors (112528961076).

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

64126405644 is a wasteful number, since it uses less digits than its factorization.

64126405644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627827 (or 1627818 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 64126405644 in words is "sixty-four billion, one hundred twenty-six million, four hundred five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1407 1876 2814 3283 5628 6566 9849 13132 19698 39396 1627739 3255478 4883217 6510956 9766434 11394173 19532868 22788346 34182519 45576692 68365038 79759211 109058513 136730076 159518422 218117026 239277633 319036844 327175539 436234052 478555266 654351078 763409591 957110532 1308702156 1526819182 2290228773 3053638364 4580457546 5343867137 9160915092 10687734274 16031601411 21375468548 32063202822 64126405644