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13368524040 = 2333512378263
BaseRepresentation
bin11000111001101001…
…10111110100001000
31021111200020101102000
430130310313310020
5204334320232130
610050313511000
7652166402514
oct143464676410
937450211360
1013368524040
115740201a83
122711112460
131350842571
1490b699144
15533999260
hex31cd37d08

13368524040 has 64 divisors (see below), whose sum is σ = 44561750400. Its totient is φ = 3564939456.

The previous prime is 13368523957. The next prime is 13368524111. The reversal of 13368524040 is 4042586331.

13368524040 is a `hidden beast` number, since 1 + 33 + 68 + 524 + 0 + 40 = 666.

13368524040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13368523986 and 13368524004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6188052 + ... + 6190211.

It is an arithmetic number, because the mean of its divisors is an integer number (696277350).

Almost surely, 213368524040 is an apocalyptic number.

13368524040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13368524040 is an abundant number, since it is smaller than the sum of its proper divisors (31193226360).

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

13368524040 is a wasteful number, since it uses less digits than its factorization.

13368524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12378283 (or 12378273 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13368524040 in words is "thirteen billion, three hundred sixty-eight million, five hundred twenty-four thousand, forty".

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 12378263 24756526 37134789 49513052 61891315 74269578 99026104 111404367 123782630 148539156 185673945 222808734 247565260 297078312 334213101 371347890 445617468 495130520 557021835 668426202 742695780 891234936 1114043670 1336852404 1485391560 1671065505 2228087340 2673704808 3342131010 4456174680 6684262020 13368524040