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14949268920 = 23325175094799
BaseRepresentation
bin11011110110000101…
…11011110110111000
31102120211200112201200
431323002323312320
5221104003101140
610511222414200
71036312455255
oct157302736670
942524615650
1014949268920
116381522003
122a92591360
131543195c71
14a1b5ba42c
155c7643030
hex37b0bbdb8

14949268920 has 192 divisors, whose sum is σ = 51554880000. Its totient is φ = 3743821824.

The previous prime is 14949268891. The next prime is 14949268927. The reversal of 14949268920 is 2986294941.

14949268920 is a `hidden beast` number, since 1 + 4 + 9 + 492 + 68 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14949268927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3112681 + ... + 3117479.

It is an arithmetic number, because the mean of its divisors is an integer number (268515000).

Almost surely, 214949268920 is an apocalyptic number.

14949268920 is a gapful number since it is divisible by the number (10) 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 14949268920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25777440000).

14949268920 is an abundant number, since it is smaller than the sum of its proper divisors (36605611080).

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

14949268920 is a wasteful number, since it uses less digits than its factorization.

14949268920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 14949268920 in words is "fourteen billion, nine hundred forty-nine million, two hundred sixty-eight thousand, nine hundred twenty".