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2049920964 = 22327132712309
BaseRepresentation
bin111101000101111…
…0100111111000100
312021212021202220200
41322023310333010
513144234432324
6535224530500
7101541016650
oct17213647704
95255252820
102049920964
11962143a63
12492620a30
132689057b0
14156371a60
15bee73ec9
hex7a2f4fc4

2049920964 has 144 divisors (see below), whose sum is σ = 6403837440. Its totient is φ = 538410240.

The previous prime is 2049920959. The next prime is 2049921031. The reversal of 2049920964 is 4690299402.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886642 + ... + 888950.

Almost surely, 22049920964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049920964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201918720).

2049920964 is an abundant number, since it is smaller than the sum of its proper divisors (4353916476).

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

2049920964 is a wasteful number, since it uses less digits than its factorization.

2049920964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2049920964 is about 45276.0528756649. The cubic root of 2049920964 is about 1270.3177670138.

The spelling of 2049920964 in words is "two billion, forty-nine million, nine hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 271 273 364 468 542 546 813 819 1084 1092 1626 1638 1897 2309 2439 3252 3276 3523 3794 4618 4878 5691 6927 7046 7588 9236 9756 10569 11382 13854 14092 16163 17073 20781 21138 22764 24661 27708 30017 31707 32326 34146 41562 42276 48489 49322 60034 63414 64652 68292 73983 83124 90051 96978 98644 120068 126828 145467 147966 180102 193956 210119 221949 270153 290934 295932 360204 420238 443898 540306 581868 625739 630357 840476 887796 1080612 1251478 1260714 1877217 1891071 2502956 2521428 3754434 3782142 4380173 5631651 7508868 7564284 8134607 8760346 11263302 13140519 16269214 17520692 22526604 24403821 26281038 32538428 39421557 48807642 52562076 56942249 73211463 78843114 97615284 113884498 146422926 157686228 170826747 227768996 292845852 341653494 512480241 683306988 1024960482 2049920964