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30067678320120 = 2333573977206127
BaseRepresentation
bin1101101011000101011010…
…10010010001010111111000
310221110102221012101122022000
412311202231102101113320
512420112101122220440
6143540522320301000
76222214045540650
oct665425522212770
9127412835348260
1030067678320120
1196426a3604721
123457398771760
1313a14a689080c
1475d3d78cd360
153721e1684730
hex1b58ad4915f8

30067678320120 has 128 divisors (see below), whose sum is σ = 114543536486400. Its totient is φ = 6872612185728.

The previous prime is 30067678320091. The next prime is 30067678320143. The reversal of 30067678320120 is 2102387676003.

30067678320120 is a `hidden beast` number, since 300 + 6 + 7 + 6 + 7 + 8 + 320 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1988595504 + ... + 1988610623.

It is an arithmetic number, because the mean of its divisors is an integer number (894871378800).

Almost surely, 230067678320120 is an apocalyptic number.

30067678320120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30067678320120 is an abundant number, since it is smaller than the sum of its proper divisors (84475858166280).

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

30067678320120 is a wasteful number, since it uses less digits than its factorization.

30067678320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977206154 (or 3977206144 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 30067678320120 in words is "thirty trillion, sixty-seven billion, six hundred seventy-eight million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 3977206127 7954412254 11931618381 15908824508 19886030635 23863236762 27840442889 31817649016 35794855143 39772061270 47726473524 55680885778 59658091905 71589710286 79544122540 83521328667 95452947048 107384565429 111361771556 119316183810 139202214445 143179420572 159088245080 167042657334 178974275715 214769130858 222723543112 238632367620 250563986001 278404428890 286358841144 334085314668 357948551430 417606643335 429538261716 477264735240 501127972002 536922827145 556808857780 668170629336 715897102860 751691958003 835213286670 859076523432 1002255944004 1073845654290 1113617715560 1252819930005 1431794205720 1503383916006 1670426573340 2004511888008 2147691308580 2505639860010 3006767832012 3340853146680 3758459790015 4295382617160 5011279720020 6013535664024 7516919580030 10022559440040 15033839160060 30067678320120