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5960379672 = 23321331205417
BaseRepresentation
bin1011000110100010…
…00010110100011000
3120101101111122210200
411203101002310120
544201324122142
62423235342200
7300463251132
oct54321026430
916341448720
105960379672
11258952a515
1211a4151960
1373cb05ca0
14407858052
1524d40d64c
hex163442d18

5960379672 has 96 divisors (see below), whose sum is σ = 17945316480. Its totient is φ = 1774794240.

The previous prime is 5960379671. The next prime is 5960379679. The reversal of 5960379672 is 2769730695.

It is a super-2 number, since 2×59603796722 = 71052251668781655168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5960379671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73693 + ... + 131724.

It is an arithmetic number, because the mean of its divisors is an integer number (186930380).

Almost surely, 25960379672 is an apocalyptic number.

5960379672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5960379672 is an abundant number, since it is smaller than the sum of its proper divisors (11984936808).

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

5960379672 is a wasteful number, since it uses less digits than its factorization.

5960379672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205473 (or 205466 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 5960379672 is about 77203.4952058519. The cubic root of 5960379672 is about 1813.1120390573.

The spelling of 5960379672 in words is "five billion, nine hundred sixty million, three hundred seventy-nine 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 205417 410834 616251 821668 1232502 1643336 1848753 2465004 2670421 3697506 4930008 5340842 6367927 7395012 8011263 10681684 12735854 14790024 16022526 19103781 21363368 24033789 25471708 32045052 38207562 48067578 50943416 57311343 64090104 76415124 82783051 96135156 114622686 152830248 165566102 192270312 229245372 248349153 331132204 458490744 496698306 662264408 745047459 993396612 1490094918 1986793224 2980189836 5960379672