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5160616632 = 2332831675171
BaseRepresentation
bin1001100111001100…
…01100001010111000
3111022122121111011100
410303212030022320
541032104213012
62212025531400
7241612342353
oct46346141270
914278544140
105160616632
112209040726
121000343b60
13643206c12
1436d55129a
152030d18dc
hex13398c2b8

5160616632 has 96 divisors (see below), whose sum is σ = 14232516480. Its totient is φ = 1688976960.

The previous prime is 5160616621. The next prime is 5160616633. The reversal of 5160616632 is 2366160615.

5160616632 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 6 + 16 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160616633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995407 + ... + 1000577.

It is an arithmetic number, because the mean of its divisors is an integer number (148255380).

Almost surely, 25160616632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160616632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116258240).

5160616632 is an abundant number, since it is smaller than the sum of its proper divisors (9071899848).

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

5160616632 is a wasteful number, since it uses less digits than its factorization.

5160616632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5160616632 is about 71837.4319696911. The cubic root of 5160616632 is about 1728.0933511168.

The spelling of 5160616632 in words is "five billion, one hundred sixty million, six hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 167 249 332 334 498 501 664 668 747 996 1002 1336 1494 1503 1992 2004 2988 3006 4008 5171 5976 6012 10342 12024 13861 15513 20684 27722 31026 41368 41583 46539 55444 62052 83166 93078 110888 124104 124749 166332 186156 249498 332664 372312 429193 498996 858386 863557 997992 1287579 1716772 1727114 2575158 2590671 3433544 3454228 3862737 5150316 5181342 6908456 7725474 7772013 10300632 10362684 15450948 15544026 20725368 30901896 31088052 62176104 71675231 143350462 215025693 286700924 430051386 573401848 645077079 860102772 1290154158 1720205544 2580308316 5160616632