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13345131384 = 23321319750401
BaseRepresentation
bin11000110110110111…
…01000101101111000
31021110001012220201100
430123123220231320
5204312323201014
610044120251400
7651463513404
oct143333505570
937401186640
1013345131384
115728a84802
122705310b60
131348a41b60
1490852a104
155318c8009
hex31b6e8b78

13345131384 has 96 divisors (see below), whose sum is σ = 40971949200. Its totient is φ = 3890073600.

The previous prime is 13345131383. The next prime is 13345131421. The reversal of 13345131384 is 48313154331.

13345131384 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 513 + 138 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345131383) 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 23 ways as a sum of consecutive naturals, for example, 357417 + ... + 392984.

Almost surely, 213345131384 is an apocalyptic number.

It is an amenable number.

13345131384 is an abundant number, since it is smaller than the sum of its proper divisors (27626817816).

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

13345131384 is a wasteful number, since it uses less digits than its factorization.

13345131384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750445 (or 750438 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 13345131384 in words is "thirteen billion, three hundred forty-five million, one hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 750401 1500802 2251203 3001604 4502406 6003208 6753609 9004812 9755213 13507218 14257619 18009624 19510426 27014436 28515238 29265639 39020852 42772857 54028872 57030476 58531278 78041704 85545714 87796917 114060952 117062556 128318571 171091428 175593834 185349047 234125112 256637142 342182856 351187668 370698094 513274284 556047141 702375336 741396188 1026548568 1112094282 1482792376 1668141423 2224188564 3336282846 4448377128 6672565692 13345131384