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3390113272896 = 26337280267301
BaseRepresentation
bin110001010101010010011…
…111110101010001000000
3110000002110211012212112000
4301111102133311101000
5421020422444213041
611113221352504000
7466633111235610
oct61252237652100
913002424185460
103390113272896
111097814620729
1246903a0ab000
131b78bca90a5c
14ba121dc0a40
155d2b81a6bb6
hex315527f5440

3390113272896 has 112 divisors (see below), whose sum is σ = 11390063153280. Its totient is φ = 968603788800.

The previous prime is 3390113272891. The next prime is 3390113272921. The reversal of 3390113272896 is 6982723110933.

3390113272896 is a `hidden beast` number, since 3 + 39 + 0 + 1 + 1 + 327 + 289 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33901132728962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3390113272891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 140121555 + ... + 140145746.

It is an arithmetic number, because the mean of its divisors is an integer number (101696992440).

Almost surely, 23390113272896 is an apocalyptic number.

3390113272896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3390113272896 is an abundant number, since it is smaller than the sum of its proper divisors (7999949880384).

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

3390113272896 is a wasteful number, since it uses less digits than its factorization.

3390113272896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280267329 (or 280267313 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3390113272896 in words is "three trillion, three hundred ninety billion, one hundred thirteen million, two hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 280267301 560534602 840801903 1121069204 1681603806 1961871107 2242138408 2522405709 3363207612 3923742214 4484276816 5044811418 5885613321 6726415224 7567217127 7847484428 8968553632 10089622836 11771226642 13452830448 15134434254 15694968856 17656839963 17937107264 20179245672 23542453284 26905660896 30268868508 31389937712 35313679926 40358491344 47084906568 52970519889 53811321792 60537737016 62779875424 70627359852 80716982688 94169813136 105941039778 121075474032 125559750848 141254719704 161433965376 188339626272 211882079556 242150948064 282509439408 376679252544 423764159112 484301896128 565018878816 847528318224 1130037757632 1695056636448 3390113272896