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2114149536 = 253213215557
BaseRepresentation
bin111111000000011…
…0101110010100000
312110100010220221200
41332000311302200
513312210241121
6545441321200
7103250655162
oct17600656240
95410126850
102114149536
11995422924
124b0036200
13279003375
14160ad0932
15c590ea26
hex7e035ca0

2114149536 has 72 divisors (see below), whose sum is σ = 6017746644. Its totient is φ = 704056320.

The previous prime is 2114149517. The next prime is 2114149553. The reversal of 2114149536 is 6359414112.

It is a happy number.

2114149536 is a `hidden beast` number, since 2 + 114 + 1 + 4 + 9 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1580539536 + 533610000 = 39756^2 + 23100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2114149536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377670 + ... + 383226.

Almost surely, 22114149536 is an apocalyptic number.

It is an amenable number.

2114149536 is an abundant number, since it is smaller than the sum of its proper divisors (3903597108).

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

2114149536 is a wasteful number, since it uses less digits than its factorization.

2114149536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6883 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2114149536 is about 45979.8818615272. The cubic root of 2114149536 is about 1283.4488565408.

The spelling of 2114149536 in words is "two billion, one hundred fourteen million, one hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1321 2642 3963 5284 5557 7926 10568 11114 11889 15852 16671 21136 22228 23778 31704 33342 42272 44456 47556 50013 63408 66684 88912 95112 100026 126816 133368 177824 190224 200052 266736 380448 400104 533472 800208 1600416 7340797 14681594 22022391 29363188 44044782 58726376 66067173 88089564 117452752 132134346 176179128 234905504 264268692 352358256 528537384 704716512 1057074768 2114149536