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5144645664 = 25341984817
BaseRepresentation
bin1001100101010010…
…10001000000100000
3111021112120002010000
410302221101000200
541014012130124
62210255340000
7241326523644
oct46251210040
914245502100
105144645664
112200022484
12bb6b21600
1363cb04642
1436b394c24
152019c96c9
hex132a51020

5144645664 has 60 divisors (see below), whose sum is σ = 15130267614. Its totient is φ = 1714881024.

The previous prime is 5144645647. The next prime is 5144645687. The reversal of 5144645664 is 4665464415.

It can be written as a sum of positive squares in only one way, i.e., 3856410000 + 1288235664 = 62100^2 + 35892^2 .

It is a super-2 number, since 2×51446456642 = 52934758016228001792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 989817 + ... + 995000.

Almost surely, 25144645664 is an apocalyptic number.

5144645664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5144645664 is an abundant number, since it is smaller than the sum of its proper divisors (9985621950).

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

5144645664 is a wasteful number, since it uses less digits than its factorization.

5144645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984839 (or 1984822 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 5144645664 is about 71726.1853439872. The cubic root of 5144645664 is about 1726.3088199323.

The spelling of 5144645664 in words is "five billion, one hundred forty-four million, six hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1984817 3969634 5954451 7939268 11908902 15878536 17863353 23817804 31757072 35726706 47635608 53590059 63514144 71453412 95271216 107180118 142906824 160770177 190542432 214360236 285813648 321540354 428720472 571627296 643080708 857440944 1286161416 1714881888 2572322832 5144645664