Search a number
-
+
14696392704 = 211373173151
BaseRepresentation
bin11011010111111100…
…10010100000000000
31101221012212002202220
431223332102200000
5220044234031304
610430150411040
71030122163650
oct155376224000
941835762686
1014696392704
1162618043a4
122a21960a80
131502987376
149d5b92360
155b0341ad9
hex36bf92800

14696392704 has 384 divisors, whose sum is σ = 47166013440. Its totient is φ = 3981312000.

The previous prime is 14696392703. The next prime is 14696392709. The reversal of 14696392704 is 40729369641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (14696392703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97327029 + ... + 97327179.

It is an arithmetic number, because the mean of its divisors is an integer number (122828160).

Almost surely, 214696392704 is an apocalyptic number.

14696392704 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 14696392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23583006720).

14696392704 is an abundant number, since it is smaller than the sum of its proper divisors (32469620736).

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

14696392704 is a wasteful number, since it uses less digits than its factorization.

14696392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 14696392704 in words is "fourteen billion, six hundred ninety-six million, three hundred ninety-two thousand, seven hundred four".