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2099031264 = 253211798387
BaseRepresentation
bin111110100011100…
…1010110011100000
312102021200211120200
41331013022303200
513244323000024
6544141305200
7103005320451
oct17507126340
95367624520
102099031264
11987937290
124a6b65200
13275b3bc45
1415cab7128
15c44252c9
hex7d1cace0

2099031264 has 144 divisors (see below), whose sum is σ = 6594981120. Its totient is φ = 627943680.

The previous prime is 2099031247. The next prime is 2099031271. The reversal of 2099031264 is 4621309902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246079 + ... + 254465.

It is an arithmetic number, because the mean of its divisors is an integer number (45798480).

Almost surely, 22099031264 is an apocalyptic number.

2099031264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297490560).

2099031264 is an abundant number, since it is smaller than the sum of its proper divisors (4495949856).

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

2099031264 is a wasteful number, since it uses less digits than its factorization.

2099031264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2099031264 is about 45815.1859540044. The cubic root of 2099031264 is about 1280.3822230919.

The spelling of 2099031264 in words is "two billion, ninety-nine million, thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 79 88 96 99 132 144 158 176 198 237 264 288 316 352 396 474 528 632 711 792 869 948 1056 1264 1422 1584 1738 1896 2528 2607 2844 3168 3476 3792 5214 5688 6952 7584 7821 8387 10428 11376 13904 15642 16774 20856 22752 25161 27808 31284 33548 41712 50322 62568 67096 75483 83424 92257 100644 125136 134192 150966 184514 201288 250272 268384 276771 301932 369028 402576 553542 603864 662573 738056 805152 830313 1107084 1207728 1325146 1476112 1660626 1987719 2214168 2415456 2650292 2952224 3321252 3975438 4428336 5300584 5963157 6642504 7288303 7950876 8856672 10601168 11926314 13285008 14576606 15901752 21202336 21864909 23852628 26570016 29153212 31803504 43729818 47705256 58306424 63607008 65594727 87459636 95410512 116612848 131189454 174919272 190821024 233225696 262378908 349838544 524757816 699677088 1049515632 2099031264