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13946626012 = 221121923233283
BaseRepresentation
bin11001111110100100…
…01001111111011100
31022222222001000020011
430333102021333130
5212030314013022
610223524333004
71002416236144
oct147722117734
938888030204
1013946626012
115a07563600
122852844164
131413541b37
14964381924
155695dd977
hex33f489fdc

13946626012 has 144 divisors (see below), whose sum is σ = 29697857280. Its totient is φ = 5699738880.

The previous prime is 13946626009. The next prime is 13946626019. The reversal of 13946626012 is 21062664931.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13946626019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49281223 + ... + 49281505.

It is an arithmetic number, because the mean of its divisors is an integer number (206235120).

Almost surely, 213946626012 is an apocalyptic number.

It is an amenable number.

13946626012 is an abundant number, since it is smaller than the sum of its proper divisors (15751231268).

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

13946626012 is a wasteful number, since it uses less digits than its factorization.

13946626012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 13946626012 in words is "thirteen billion, nine hundred forty-six million, six hundred twenty-six thousand, twelve".

Divisors: 1 2 4 11 19 22 23 38 44 46 76 92 121 209 233 242 253 283 418 437 466 484 506 566 836 874 932 1012 1132 1748 2299 2563 2783 3113 4427 4598 4807 5126 5359 5377 5566 6226 6509 8854 9196 9614 10252 10718 10754 11132 12452 13018 17708 19228 21436 21508 26036 28193 34243 48697 52877 56386 58949 59147 65939 68486 71599 97394 101821 105754 112772 117898 118294 123671 131878 136972 143198 194788 203642 211508 235796 236588 247342 263756 286396 407284 494684 535667 648439 650617 725329 787589 1071334 1120031 1252841 1296878 1301234 1360381 1450658 1516597 1575178 2142668 2240062 2505682 2593756 2602468 2720762 2901316 3033194 3150356 4480124 5011364 5441524 6066388 7978619 12320341 13781251 14964191 15957238 16682567 24640682 27562502 28815343 29928382 31914476 33365134 49281364 55125004 57630686 59856764 66730268 115261372 151593761 183508237 303187522 316968773 367016474 606375044 633937546 734032948 1267875092 3486656503 6973313006 13946626012