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5144800032 = 2532171050817
BaseRepresentation
bin1001100101010011…
…10110101100100000
3111021112211220212100
410302221312230200
541014032100112
62210302530400
7241331036001
oct46251665440
914245756770
105144800032
112200118459
12bb6b96a00
1363cb59998
1436b3d51a8
15201a0a2dc
hex132a76b20

5144800032 has 72 divisors (see below), whose sum is σ = 15491158956. Its totient is φ = 1614053376.

The previous prime is 5144800019. The next prime is 5144800051. The reversal of 5144800032 is 2300084415.

It can be written as a sum of positive squares in 2 ways, for example, as 5144332176 + 467856 = 71724^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5144799969 and 5144800005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520513 + ... + 530304.

Almost surely, 25144800032 is an apocalyptic number.

It is an amenable number.

5144800032 is an abundant number, since it is smaller than the sum of its proper divisors (10346358924).

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

5144800032 is a wasteful number, since it uses less digits than its factorization.

5144800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050850 (or 1050839 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5144800032 is about 71727.2614282743. The cubic root of 5144800032 is about 1726.3260860501.

Adding to 5144800032 its reverse (2300084415), we get a palindrome (7444884447).

The spelling of 5144800032 in words is "five billion, one hundred forty-four million, eight hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 1050817 2101634 3152451 4203268 6304902 8406536 9457353 12609804 16813072 17863889 18914706 25219608 33626144 35727778 37829412 50439216 53591667 71455556 75658824 100878432 107183334 142911112 151317648 160775001 214366668 285822224 302635296 321550002 428733336 571644448 643100004 857466672 1286200008 1714933344 2572400016 5144800032