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5457528144 = 243312633167
BaseRepresentation
bin1010001010100101…
…10100010101010000
3112002100022011012000
411011102310111100
542134111400034
62301313434000
7252146136525
oct50522642520
915070264160
105457528144
1123506a5742
12108386b900
1368c892cc3
1439ab5d14c
1521e1d0599
hex1454b4550

5457528144 has 40 divisors (see below), whose sum is σ = 15665128320. Its totient is φ = 1819175904.

The previous prime is 5457528127. The next prime is 5457528151. The reversal of 5457528144 is 4418257545.

5457528144 is a `hidden beast` number, since 5 + 457 + 52 + 8 + 144 = 666.

It is a super-2 number, since 2×54575281442 = 59569226885104169472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5457528144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6316152 + ... + 6317015.

It is an arithmetic number, because the mean of its divisors is an integer number (391628208).

Almost surely, 25457528144 is an apocalyptic number.

5457528144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5457528144 is an abundant number, since it is smaller than the sum of its proper divisors (10207600176).

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

5457528144 is a wasteful number, since it uses less digits than its factorization.

5457528144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12633184 (or 12633172 counting only the distinct ones).

The product of its digits is 896000, while the sum is 45.

The square root of 5457528144 is about 73875.0847309159. The cubic root of 5457528144 is about 1760.6187717550.

The spelling of 5457528144 in words is "five billion, four hundred fifty-seven million, five hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12633167 25266334 37899501 50532668 75799002 101065336 113698503 151598004 202130672 227397006 303196008 341095509 454794012 606392016 682191018 909588024 1364382036 1819176048 2728764072 5457528144