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13906360992 = 253433368789
BaseRepresentation
bin11001111001110001…
…00011101010100000
31022220011021100000010
430330320203222200
5211440012022432
610215525324520
71001420055336
oct147470435240
938804240003
1013906360992
115996861927
122841266740
1314080b4794
1495cc9db56
15565cd83cc
hex33ce23aa0

13906360992 has 48 divisors (see below), whose sum is σ = 37353143520. Its totient is φ = 4527651072.

The previous prime is 13906360967. The next prime is 13906360997. The reversal of 13906360992 is 29906360931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13906360997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1680267 + ... + 1688522.

It is an arithmetic number, because the mean of its divisors is an integer number (778190490).

Almost surely, 213906360992 is an apocalyptic number.

13906360992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13906360992 is an abundant number, since it is smaller than the sum of its proper divisors (23446782528).

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

13906360992 is a wasteful number, since it uses less digits than its factorization.

13906360992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368845 (or 3368837 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The spelling of 13906360992 in words is "thirteen billion, nine hundred six million, three hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 3368789 6737578 10106367 13475156 20212734 26950312 40425468 53900624 80850936 107801248 144857927 161701872 289715854 323403744 434573781 579431708 869147562 1158863416 1738295124 2317726832 3476590248 4635453664 6953180496 13906360992