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2133513696 = 25367893727
BaseRepresentation
bin111111100101010…
…1101010111100000
312111200120201120210
41333022231113200
513332134414241
6551412334120
7103604365356
oct17712552740
95450521523
102133513696
119a5349466
124b6614340
13280023252
141634d17d6
15c7487316
hex7f2ad5e0

2133513696 has 96 divisors (see below), whose sum is σ = 5749470720. Its totient is φ = 692499456.

The previous prime is 2133513689. The next prime is 2133513703. The reversal of 2133513696 is 6963153312.

It is an interprime number because it is at equal distance from previous prime (2133513689) and next prime (2133513703).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570585 + ... + 574311.

It is an arithmetic number, because the mean of its divisors is an integer number (59890320).

Almost surely, 22133513696 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 2133513696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874735360).

2133513696 is an abundant number, since it is smaller than the sum of its proper divisors (3615957024).

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

2133513696 is a wasteful number, since it uses less digits than its factorization.

2133513696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3888 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 2133513696 is about 46189.9739770440. The cubic root of 2133513696 is about 1287.3554572518.

The spelling of 2133513696 in words is "two billion, one hundred thirty-three million, five hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 89 96 134 178 201 267 268 356 402 534 536 712 804 1068 1072 1424 1608 2136 2144 2848 3216 3727 4272 5963 6432 7454 8544 11181 11926 14908 17889 22362 23852 29816 35778 44724 47704 59632 71556 89448 95408 119264 143112 178896 190816 249709 286224 331703 357792 499418 572448 663406 749127 995109 998836 1326812 1498254 1990218 1997672 2653624 2996508 3980436 3995344 5307248 5993016 7960872 7990688 10614496 11986032 15921744 22224101 23972064 31843488 44448202 66672303 88896404 133344606 177792808 266689212 355585616 533378424 711171232 1066756848 2133513696