Search a number
-
+
5160632544 = 253223779081
BaseRepresentation
bin1001100111001100…
…10000000011100000
3111022122122021222200
410303212100003200
541032110220134
62212030133200
7241612436634
oct46346200340
914278567880
105160632544
112209051681
121000351200
13643211232
1436d556dc4
152030d6499
hex1339900e0

5160632544 has 72 divisors (see below), whose sum is σ = 15313635792. Its totient is φ = 1645416960.

The previous prime is 5160632501. The next prime is 5160632611. The reversal of 5160632544 is 4452360615.

5160632544 is a `hidden beast` number, since 5 + 1 + 606 + 3 + 2 + 5 + 44 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5160632499 and 5160632508.

It is a congruent number.

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, 382917 + ... + 396164.

It is an arithmetic number, because the mean of its divisors is an integer number (212689386).

Almost surely, 25160632544 is an apocalyptic number.

It is an amenable number.

5160632544 is an abundant number, since it is smaller than the sum of its proper divisors (10153003248).

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

5160632544 is a wasteful number, since it uses less digits than its factorization.

5160632544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779120 (or 779109 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5160632544 is about 71837.5427196671. The cubic root of 5160632544 is about 1728.0951272220.

The spelling of 5160632544 in words is "five billion, one hundred sixty million, six hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 779081 1558162 2337243 3116324 4674486 6232648 7011729 9348972 12465296 14023458 17918863 18697944 24930592 28046916 35837726 37395888 53756589 56093832 71675452 74791776 107513178 112187664 143350904 161269767 215026356 224375328 286701808 322539534 430052712 573403616 645079068 860105424 1290158136 1720210848 2580316272 5160632544