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5456376144 = 243237891501
BaseRepresentation
bin1010001010011100…
…11011000101010000
3112002021010121221100
411011032123011100
542133313014034
62301233024400
7252133301112
oct50516330520
915067117840
105456376144
11234aa8917a
1210833b5100
1368c57b84b
1439a93d3b2
1521e054099
hex14539b150

5456376144 has 30 divisors (see below), whose sum is σ = 15270275306. Its totient is φ = 1818792000.

The previous prime is 5456376127. The next prime is 5456376161. The reversal of 5456376144 is 4416736545.

5456376144 is a `hidden beast` number, since 5 + 4 + 5 + 637 + 6 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5456376127) and next prime (5456376161).

It can be written as a sum of positive squares in only one way, i.e., 5272502544 + 183873600 = 72612^2 + 13560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5456376144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18945607 + ... + 18945894.

Almost surely, 25456376144 is an apocalyptic number.

It is an amenable number.

5456376144 is an abundant number, since it is smaller than the sum of its proper divisors (9813899162).

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

5456376144 is a wasteful number, since it uses less digits than its factorization.

5456376144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37891515 (or 37891506 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5456376144 is about 73867.2873740467. The cubic root of 5456376144 is about 1760.4948832168.

The spelling of 5456376144 in words is "five billion, four hundred fifty-six million, three hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 37891501 75783002 113674503 151566004 227349006 303132008 341023509 454698012 606264016 682047018 909396024 1364094036 1818792048 2728188072 5456376144