Search a number
-
+
45694192644 = 223223215492
BaseRepresentation
bin101010100011100101…
…100000110000000100
311100221111200111100100
4222203211200300010
51222040203131034
632554105044100
73205226141352
oct524345406004
9140844614310
1045694192644
11184191a9281
128a32a86630
134402999119
1422d69347d2
1512c6865099
hexaa3960c04

45694192644 has 81 divisors (see below), whose sum is σ = 120823057173. Its totient is φ = 14559757344.

The previous prime is 45694192639. The next prime is 45694192673. The reversal of 45694192644 is 44629149654.

The square root of 45694192644 is 213762.

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

45694192644 is a `hidden beast` number, since 4 + 569 + 4 + 19 + 2 + 64 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15459938244 + 30234254400 = 124338^2 + 173880^2 .

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, 29498382 + ... + 29499930.

Almost surely, 245694192644 is an apocalyptic number.

45694192644 is the 213762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45694192644

45694192644 is an abundant number, since it is smaller than the sum of its proper divisors (75128864529).

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

45694192644 is a wasteful number, since it uses less digits than its factorization.

45694192644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 1577 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 45694192644 in words is "forty-five billion, six hundred ninety-four million, one hundred ninety-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1549 1587 2116 3098 3174 4647 4761 6196 6348 9294 9522 13941 18588 19044 27882 35627 55764 71254 106881 142508 213762 320643 427524 641286 819421 1282572 1638842 2399401 2458263 3277684 4798802 4916526 7198203 7374789 9597604 9833052 14396406 14749578 21594609 28792812 29499156 43189218 55186223 86378436 110372446 165558669 220744892 331117338 496676007 662234676 993352014 1269283129 1986704028 2538566258 3807849387 5077132516 7615698774 11423548161 15231397548 22847096322 45694192644