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2137812456 = 233136851963
BaseRepresentation
bin111111101101100…
…0110110111101000
312111222200010101010
41333123012313220
513334234444311
6552044423520
7103656051243
oct17733066750
95458603333
102137812456
119a781515a
124b7b47ba0
13280b99ab0
14163cd025a
15c7a35da6
hex7f6c6de8

2137812456 has 32 divisors (see below), whose sum is σ = 5755649760. Its totient is φ = 657788352.

The previous prime is 2137812451. The next prime is 2137812461. The reversal of 2137812456 is 6542187312.

It is an interprime number because it is at equal distance from previous prime (2137812451) and next prime (2137812461).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2137812451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3425670 + ... + 3426293.

It is an arithmetic number, because the mean of its divisors is an integer number (179864055).

Almost surely, 22137812456 is an apocalyptic number.

2137812456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2137812456 is an abundant number, since it is smaller than the sum of its proper divisors (3617837304).

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

2137812456 is a wasteful number, since it uses less digits than its factorization.

2137812456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851985 (or 6851981 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2137812456 is about 46236.4840358780. The cubic root of 2137812456 is about 1288.2194966249.

Adding to 2137812456 its reverse (6542187312), we get a palindrome (8679999768).

The spelling of 2137812456 in words is "two billion, one hundred thirty-seven million, eight hundred twelve thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 6851963 13703926 20555889 27407852 41111778 54815704 82223556 89075519 164447112 178151038 267226557 356302076 534453114 712604152 1068906228 2137812456