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3127779561990 = 235414475356821
BaseRepresentation
bin101101100000111110001…
…100001001001000000110
3102002000100100001120202010
4231200332030021020012
5402221143031440430
610352514310555050
7441655202420166
oct55407614111006
912060310046663
103127779561990
11aa6536026976
12426227068a86
13198c43698495
14ab5575245a6
155656269ecb0
hex2d83e309206

3127779561990 has 64 divisors (see below), whose sum is σ = 7690067646912. Its totient is φ = 813698764800.

The previous prime is 3127779561979. The next prime is 3127779562013. The reversal of 3127779561990 is 991659777213.

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 31 ways as a sum of consecutive naturals, for example, 55017780 + ... + 55074600.

It is an arithmetic number, because the mean of its divisors is an integer number (120157306983).

Almost surely, 23127779561990 is an apocalyptic number.

3127779561990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3127779561990 is an abundant number, since it is smaller than the sum of its proper divisors (4562288084922).

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

3127779561990 is a wasteful number, since it uses less digits than its factorization.

3127779561990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101625.

The product of its (nonzero) digits is 45008460, while the sum is 66.

The spelling of 3127779561990 in words is "three trillion, one hundred twenty-seven billion, seven hundred seventy-nine million, five hundred sixty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 44753 56821 89506 113642 134259 170463 223765 268518 284105 340926 447530 568210 671295 852315 1342590 1704630 1834873 2329661 3669746 4659322 5504619 6988983 9174365 11009238 11648305 13977966 18348730 23296610 27523095 34944915 55046190 69889830 2542910213 5085820426 7628730639 12714551065 15257461278 25429102130 38143653195 76287306390 104259318733 208518637466 312777956199 521296593665 625555912398 1042593187330 1563889780995 3127779561990