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5335221672 = 23321156911839
BaseRepresentation
bin1001111100000000…
…10000010110101000
3111202211011100020200
410332000100112220
541411304043142
62241224152200
7246132431064
oct47600202650
914684140220
105335221672
112298659010
12104a908660
1367043c301
14388802aa4
152135c164c
hex13e0105a8

5335221672 has 96 divisors (see below), whose sum is σ = 15792192000. Its totient is φ = 1613756160.

The previous prime is 5335221659. The next prime is 5335221709. The reversal of 5335221672 is 2761225335.

5335221672 is a `hidden beast` number, since 53 + 3 + 522 + 16 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444729 + ... + 456567.

It is an arithmetic number, because the mean of its divisors is an integer number (164502000).

Almost surely, 25335221672 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 5335221672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896096000).

5335221672 is an abundant number, since it is smaller than the sum of its proper divisors (10456970328).

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

5335221672 is a wasteful number, since it uses less digits than its factorization.

5335221672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12424 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5335221672 is about 73042.6017608902. The cubic root of 5335221672 is about 1747.3671071124.

The spelling of 5335221672 in words is "five billion, three hundred thirty-five million, two hundred twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 569 792 1138 1707 2276 3414 4552 5121 6259 6828 10242 11839 12518 13656 18777 20484 23678 25036 35517 37554 40968 47356 50072 56331 71034 75108 94712 106551 112662 130229 142068 150216 213102 225324 260458 284136 390687 426204 450648 520916 781374 852408 1041832 1172061 1562748 2344122 3125496 4688244 6736391 9376488 13472782 20209173 26945564 40418346 53891128 60627519 74100301 80836692 121255038 148200602 161673384 222300903 242510076 296401204 444601806 485020152 592802408 666902709 889203612 1333805418 1778407224 2667610836 5335221672