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8420264644 = 22112432972
BaseRepresentation
bin1111101011110001…
…10000101011000100
3210201211012202121111
413311320300223010
5114221041432034
63511311254404
7415443032341
oct76570605304
923654182544
108420264644
113631024500
12176bb1a404
13a4262b41c
1459c4257c8
15344363364
hex1f5e30ac4

8420264644 has 81 divisors (see below), whose sum is σ = 16754975181. Its totient is φ = 3699843840.

The previous prime is 8420264641. The next prime is 8420264653. The reversal of 8420264644 is 4464620248.

It is a happy number.

The square root of 8420264644 is 91762.

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

It can be written as a sum of positive squares in only one way, i.e., 3781020100 + 4639244544 = 61490^2 + 68112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8420264597 and 8420264606.

It is not an unprimeable number, because it can be changed into a prime (8420264641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86806804 + ... + 86806900.

Almost surely, 28420264644 is an apocalyptic number.

8420264644 is the 91762-nd square number.

It is an amenable number.

8420264644 is a deficient number, since it is larger than the sum of its proper divisors (8334710537).

8420264644 is a wasteful number, since it uses less digits than its factorization.

8420264644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The cubic root of 8420264644 is about 2034.4260762836.

The spelling of 8420264644 in words is "eight billion, four hundred twenty million, two hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 43 44 86 97 121 172 194 242 388 473 484 946 1067 1849 1892 2134 3698 4171 4268 5203 7396 8342 9409 10406 11737 16684 18818 20339 20812 23474 37636 40678 45881 46948 81356 91762 103499 179353 183524 206998 223729 358706 404587 413996 447458 504691 717412 809174 894916 1009382 1138489 1618348 1972883 2018764 2276978 3945766 4450457 4553956 7891532 8900914 17397241 17801828 21701713 34794482 43403426 48955027 69588964 86806852 97910054 191369651 195820108 382739302 765478604 2105066161 4210132322 8420264644