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13855018680 = 2333512828721
BaseRepresentation
bin11001110011101001…
…01100111010111000
31022202120122212121000
430321310230322320
5211333341044210
610210453045000
71000224500316
oct147164547270
938676585530
1013855018680
11596a884668
122828026760
1313ca579409
149561370b6
15561545ac0
hex339d2ceb8

13855018680 has 64 divisors (see below), whose sum is σ = 46183399200. Its totient is φ = 3694671360.

The previous prime is 13855018679. The next prime is 13855018687. The reversal of 13855018680 is 8681055831.

13855018680 is a `hidden beast` number, since 1 + 3 + 8 + 550 + 18 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13855018687) 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, 6413281 + ... + 6415440.

Almost surely, 213855018680 is an apocalyptic number.

13855018680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13855018680 is an abundant number, since it is smaller than the sum of its proper divisors (32328380520).

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

13855018680 is a wasteful number, since it uses less digits than its factorization.

13855018680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828741 (or 12828731 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 13855018680 in words is "thirteen billion, eight hundred fifty-five million, eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 12828721 25657442 38486163 51314884 64143605 76972326 102629768 115458489 128287210 153944652 192430815 230916978 256574420 307889304 346375467 384861630 461833956 513148840 577292445 692750934 769723260 923667912 1154584890 1385501868 1539446520 1731877335 2309169780 2771003736 3463754670 4618339560 6927509340 13855018680