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34819149933960 = 23357137302564737
BaseRepresentation
bin1111110101010111101110…
…00100000010110110001000
311120021200022102111122021020
413322223313010002312020
514030434104340341320
6202015410251112440
710222412665063530
oct772536704026610
9146250272448236
1034819149933960
111010479a44a217
123aa4226a42720
13165757c729902
148853820984c0
15405ad537a940
hex1faaf7102d88

34819149933960 has 128 divisors (see below), whose sum is σ = 120251329470720. Its totient is φ = 7900570386432.

The previous prime is 34819149933959. The next prime is 34819149933973. The reversal of 34819149933960 is 6933994191843.

It is a super-2 number, since 2×348191499339602 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151167289 + ... + 151397448.

It is an arithmetic number, because the mean of its divisors is an integer number (939463511490).

Almost surely, 234819149933960 is an apocalyptic number.

34819149933960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34819149933960 is an abundant number, since it is smaller than the sum of its proper divisors (85432179536760).

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

34819149933960 is a wasteful number, since it uses less digits than its factorization.

34819149933960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302564895 (or 302564891 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 69.

The spelling of 34819149933960 in words is "thirty-four trillion, eight hundred nineteen billion, one hundred forty-nine million, nine hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1096 1370 1644 1918 2055 2740 2877 3288 3836 4110 4795 5480 5754 7672 8220 9590 11508 14385 16440 19180 23016 28770 38360 57540 115080 302564737 605129474 907694211 1210258948 1512823685 1815388422 2117953159 2420517896 3025647370 3630776844 4235906318 4538471055 6051294740 6353859477 7261553688 8471812636 9076942110 10589765795 12102589480 12707718954 16943625272 18153884220 21179531590 25415437908 31769297385 36307768440 41451368969 42359063180 50830875816 63538594770 82902737938 84718126360 124354106907 127077189540 165805475876 207256844845 248708213814 254154379080 290159582783 331610951752 414513689690 497416427628 580319165566 621770534535 829027379380 870478748349 994832855256 1160638331132 1243541069070 1450797913915 1658054758760 1740957496698 2321276662264 2487082138140 2901595827830 3481914993396 4352393741745 4974164276280 5803191655660 6963829986792 8704787483490 11606383311320 17409574966980 34819149933960