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21135747672 = 23321331728417
BaseRepresentation
bin10011101011110010…
…011110101001011000
32000112222122020011100
4103223302132221120
5321241222411142
613413140231400
71345522614414
oct235362365130
960488566140
1021135747672
118a66640066
12411a39b560
131cbaa93790
14104708bd44
1583a813b4c
hex4ebc9ea58

21135747672 has 96 divisors (see below), whose sum is σ = 63634596480. Its totient is φ = 6293514240.

The previous prime is 21135747667. The next prime is 21135747697. The reversal of 21135747672 is 27674753112.

21135747672 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 574 + 7 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335193 + ... + 393224.

It is an arithmetic number, because the mean of its divisors is an integer number (662860380).

Almost surely, 221135747672 is an apocalyptic number.

It is an amenable number.

21135747672 is an abundant number, since it is smaller than the sum of its proper divisors (42498848808).

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

21135747672 is a wasteful number, since it uses less digits than its factorization.

21135747672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728473 (or 728466 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 21135747672 in words is "twenty-one billion, one hundred thirty-five million, seven hundred forty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 728417 1456834 2185251 2913668 4370502 5827336 6555753 8741004 9469421 13111506 17482008 18938842 22580927 26223012 28408263 37877684 45161854 52446024 56816526 67742781 75755368 85224789 90323708 113633052 135485562 170449578 180647416 203228343 227266104 270971124 293552051 340899156 406456686 541942248 587104102 681798312 812913372 880656153 1174208204 1625826744 1761312306 2348416408 2641968459 3522624612 5283936918 7045249224 10567873836 21135747672