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5645719044 = 22327217892
BaseRepresentation
bin1010100001000001…
…01101011000000100
3112120110102020120100
411100200231120010
543030301002134
62332115204100
7256622551200
oct52040553004
915513366510
105645719044
112437952309
1211168a6630
136bc874174
143b7b49b00
152309a5999
hex15082d604

5645719044 has 81 divisors (see below), whose sum is σ = 16610387157. Its totient is φ = 1612160928.

The previous prime is 5645718997. The next prime is 5645719063. The reversal of 5645719044 is 4409175465.

The square root of 5645719044 is 75138.

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

5645719044 is a `hidden beast` number, since 5 + 6 + 457 + 190 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5334549444 + 311169600 = 73038^2 + 17640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3154902 + ... + 3156690.

Almost surely, 25645719044 is an apocalyptic number.

5645719044 is the 75138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5645719044

5645719044 is an abundant number, since it is smaller than the sum of its proper divisors (10964668113).

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

5645719044 is a wasteful number, since it uses less digits than its factorization.

5645719044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The cubic root of 5645719044 is about 1780.6275450062.

The spelling of 5645719044 in words is "five billion, six hundred forty-five million, seven hundred nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1789 3578 5367 7156 10734 12523 16101 21468 25046 32202 37569 50092 64404 75138 87661 112707 150276 175322 225414 262983 350644 450828 525966 788949 1051932 1577898 3155796 3200521 6401042 9601563 12802084 19203126 22403647 28804689 38406252 44807294 57609378 67210941 89614588 115218756 134421882 156825529 201632823 268843764 313651058 403265646 470476587 627302116 806531292 940953174 1411429761 1881906348 2822859522 5645719044