Search a number
-
+
14687096424 = 233711132313741
BaseRepresentation
bin11011010110110101…
…10100111001101000
31101220120100210200020
431223122310321220
5220034344041144
610425215240440
71026650155050
oct155332647150
941816323606
1014687096424
116257534a20
122a1a819120
131500a80c00
149d4852560
155ae607419
hex36b6b4e68

14687096424 has 768 divisors, whose sum is σ = 53833973760. Its totient is φ = 3234816000.

The previous prime is 14687096401. The next prime is 14687096443. The reversal of 14687096424 is 42469078641.

It is a happy number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 358221844 + ... + 358221884.

It is an arithmetic number, because the mean of its divisors is an integer number (70096320).

Almost surely, 214687096424 is an apocalyptic number.

14687096424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14687096424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916986880).

14687096424 is an abundant number, since it is smaller than the sum of its proper divisors (39146877336).

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

14687096424 is a wasteful number, since it uses less digits than its factorization.

14687096424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 14687096424 in words is "fourteen billion, six hundred eighty-seven million, ninety-six thousand, four hundred twenty-four".