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5605938672 = 2432337137239
BaseRepresentation
bin1010011100010001…
…11101010111110000
3112110200120012011020
411032020331113300
542440110014142
62324134415440
7255630456345
oct51610752760
915420505136
105605938672
112417451774
121105501580
136b4556599
143b27527cc
1522c248cec
hex14e23d5f0

5605938672 has 80 divisors (see below), whose sum is σ = 15520197120. Its totient is φ = 1739079936.

The previous prime is 5605938593. The next prime is 5605938703. The reversal of 5605938672 is 2768395065.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27772 + ... + 109467.

It is an arithmetic number, because the mean of its divisors is an integer number (194002464).

Almost surely, 25605938672 is an apocalyptic number.

It is an amenable number.

5605938672 is an abundant number, since it is smaller than the sum of its proper divisors (9914258448).

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

5605938672 is a wasteful number, since it uses less digits than its factorization.

5605938672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137310 (or 137304 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 5605938672 is about 74872.8166426240. The cubic root of 5605938672 is about 1776.4355163157.

The spelling of 5605938672 in words is "five billion, six hundred five million, nine hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 3404 5106 6808 10212 13616 20424 40848 137239 274478 411717 548956 823434 1097912 1646868 2195824 3156497 3293736 5077843 6312994 6587472 9469491 10155686 12625988 15233529 18938982 20311372 25251976 30467058 37877964 40622744 50503952 60934116 75755928 81245488 116790389 121868232 151511856 233580778 243736464 350371167 467161556 700742334 934323112 1401484668 1868646224 2802969336 5605938672