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44166384964 = 221325921372
BaseRepresentation
bin101001001000100001…
…011000110101000100
311020000000211211012201
4221020201120311010
51210423043304324
632142330524244
73122325035512
oct511041306504
9136000754181
1044166384964
11178048557a9
128687296684
13421b2bba00
1421cda734b2
151237676444
hexa48858d44

44166384964 has 81 divisors (see below), whose sum is σ = 85762549047. Its totient is φ = 19892715648.

The previous prime is 44166384947. The next prime is 44166384973. The reversal of 44166384964 is 46948366144.

The square root of 44166384964 is 210158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3926024964 + 40240360000 = 62658^2 + 200600^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 322382304 + ... + 322382440.

Almost surely, 244166384964 is an apocalyptic number.

44166384964 is the 210158-th square number.

It is an amenable number.

44166384964 is a deficient number, since it is larger than the sum of its proper divisors (41596164083).

44166384964 is a wasteful number, since it uses less digits than its factorization.

44166384964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 55.

The spelling of 44166384964 in words is "forty-four billion, one hundred sixty-six million, three hundred eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 26 52 59 118 137 169 236 274 338 548 676 767 1534 1781 3068 3481 3562 6962 7124 8083 9971 13924 16166 18769 19942 23153 32332 37538 39884 45253 46306 75076 90506 92612 105079 181012 210158 243997 420316 476897 487994 588289 953794 975988 1107371 1176578 1366027 1907588 2214742 2353156 2732054 3171961 4429484 5464108 6199661 6343922 12399322 12687844 14395823 24798644 28791646 57583292 65334889 80595593 130669778 161191186 187145699 261339556 322382372 374291398 748582796 849353557 1698707114 3397414228 11041596241 22083192482 44166384964