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2151362496 = 26341674079
BaseRepresentation
bin1000000000111011…
…0010111111000000
312112221011112112110
42000032302333000
513401222044441
6553251055320
7104212164603
oct20016627700
95487145473
102151362496
11a0442a538
125005a1540
1328393247a
14165a1a33a
15c8d10b16
hex803b2fc0

2151362496 has 112 divisors (see below), whose sum is σ = 5919459840. Its totient is φ = 689018880.

The previous prime is 2151362491. The next prime is 2151362501. The reversal of 2151362496 is 6942631512.

It is an interprime number because it is at equal distance from previous prime (2151362491) and next prime (2151362501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151362491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525385 + ... + 529463.

It is an arithmetic number, because the mean of its divisors is an integer number (52852320).

Almost surely, 22151362496 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 2151362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959729920).

2151362496 is an abundant number, since it is smaller than the sum of its proper divisors (3768097344).

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

2151362496 is a wasteful number, since it uses less digits than its factorization.

2151362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4192 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 2151362496 is about 46382.7823227542. The cubic root of 2151362496 is about 1290.9354623288.

The spelling of 2151362496 in words is "two billion, one hundred fifty-one million, three hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 67 82 96 123 134 164 192 201 246 268 328 402 492 536 656 804 984 1072 1312 1608 1968 2144 2624 2747 3216 3936 4079 4288 5494 6432 7872 8158 8241 10988 12237 12864 16316 16482 21976 24474 32632 32964 43952 48948 65264 65928 87904 97896 130528 131856 167239 175808 195792 261056 263712 273293 334478 391584 501717 527424 546586 668956 783168 819879 1003434 1093172 1337912 1639758 2006868 2186344 2675824 3279516 4013736 4372688 5351648 6559032 8027472 8745376 10703296 11205013 13118064 16054944 17490752 22410026 26236128 32109888 33615039 44820052 52472256 67230078 89640104 134460156 179280208 268920312 358560416 537840624 717120832 1075681248 2151362496