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13335714672 = 2437206919183
BaseRepresentation
bin11000110101101111…
…01101101101110000
31021102101111111102020
430122313231231300
5204302420332142
610043142351440
7651320463420
oct143267555560
937371444366
1013335714672
1157237328a5
12270212b580
131346ac5937
14907198480
15530b67cec
hex31adedb70

13335714672 has 80 divisors (see below), whose sum is σ = 39393192960. Its totient is φ = 3808164096.

The previous prime is 13335714659. The next prime is 13335714673. The reversal of 13335714672 is 27641753331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13335714673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685593 + ... + 704775.

It is an arithmetic number, because the mean of its divisors is an integer number (492414912).

Almost surely, 213335714672 is an apocalyptic number.

13335714672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13335714672 is an abundant number, since it is smaller than the sum of its proper divisors (26057478288).

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

13335714672 is a wasteful number, since it uses less digits than its factorization.

13335714672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21270 (or 21264 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The spelling of 13335714672 in words is "thirteen billion, three hundred thirty-five million, seven hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2069 4138 6207 8276 12414 14483 16552 19183 24828 28966 33104 38366 43449 49656 57549 57932 76732 86898 99312 115098 115864 134281 153464 173796 230196 231728 268562 306928 347592 402843 460392 537124 695184 805686 920784 1074248 1611372 2148496 3222744 6445488 39689627 79379254 119068881 158758508 238137762 277827389 317517016 476275524 555654778 635034032 833482167 952551048 1111309556 1666964334 1905102096 2222619112 3333928668 4445238224 6667857336 13335714672