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13188481920 = 273252289667
BaseRepresentation
bin11000100100001100…
…00100001110000000
31021001010110022001100
430102012010032000
5204002222410140
610020402534400
7644552150415
oct142206041600
937033408040
1013188481920
115658610739
122680967400
131322455473
148d17d010c
15522c83530
hex312184380

13188481920 has 96 divisors (see below), whose sum is σ = 45541496520. Its totient is φ = 3516926976.

The previous prime is 13188481903. The next prime is 13188481963. The reversal of 13188481920 is 2918488131.

13188481920 is a `hidden beast` number, since 1 + 3 + 1 + 88 + 481 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1139074 + ... + 1150593.

Almost surely, 213188481920 is an apocalyptic number.

13188481920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13188481920 is an abundant number, since it is smaller than the sum of its proper divisors (32353014600).

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

13188481920 is a wasteful number, since it uses less digits than its factorization.

13188481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289692 (or 2289677 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 13188481920 in words is "thirteen billion, one hundred eighty-eight million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2289667 4579334 6869001 9158668 11448335 13738002 18317336 20607003 22896670 27476004 34345005 36634672 41214006 45793340 54952008 68690010 73269344 82428012 91586680 103035015 109904016 137380020 146538688 164856024 183173360 206070030 219808032 274760040 293077376 329712048 366346720 412140060 439616064 549520080 659424096 732693440 824280120 879232128 1099040160 1318848192 1465386880 1648560240 2198080320 2637696384 3297120480 4396160640 6594240960 13188481920