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2126876832 = 25333596857
BaseRepresentation
bin111111011000101…
…1001000010100000
312111020002112112000
41332301121002200
513323440024312
6551014204000
7103464104043
oct17661310240
95436075460
102126876832
119a1626053
124b4353600
1327b83b402
14162684c5a
15c6ac5adc
hex7ec590a0

2126876832 has 96 divisors (see below), whose sum is σ = 6221577600. Its totient is φ = 706881024.

The previous prime is 2126876729. The next prime is 2126876833. The reversal of 2126876832 is 2386786212.

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

It is not an unprimeable number, because it can be changed into a prime (2126876833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306748 + ... + 313604.

It is an arithmetic number, because the mean of its divisors is an integer number (64808100).

Almost surely, 22126876832 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 2126876832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110788800).

2126876832 is an abundant number, since it is smaller than the sum of its proper divisors (4094700768).

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

2126876832 is a wasteful number, since it uses less digits than its factorization.

2126876832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7221 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2126876832 is about 46118.0748947742. The cubic root of 2126876832 is about 1286.0191830553.

The spelling of 2126876832 in words is "two billion, one hundred twenty-six million, eight hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 359 432 718 864 1077 1436 2154 2872 3231 4308 5744 6462 6857 8616 9693 11488 12924 13714 17232 19386 20571 25848 27428 34464 38772 41142 51696 54856 61713 77544 82284 103392 109712 123426 155088 164568 185139 219424 246852 310176 329136 370278 493704 658272 740556 987408 1481112 1974816 2461663 2962224 4923326 5924448 7384989 9846652 14769978 19693304 22154967 29539956 39386608 44309934 59079912 66464901 78773216 88619868 118159824 132929802 177239736 236319648 265859604 354479472 531719208 708958944 1063438416 2126876832