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14923948032 = 213377217
BaseRepresentation
bin11011110011000100…
…10110000000000000
31102112002001010000000
431321202112000000
5221031012314112
610504520000000
71035554315400
oct157142260000
942462033000
1014923948032
1163691a8054
122a86000000
13153ab6b9a6
14a180a8800
155c52e07dc
hex379896000

14923948032 has 672 divisors, whose sum is σ = 55133382240. Its totient is φ = 4013162496.

The previous prime is 14923948027. The next prime is 14923948057. The reversal of 14923948032 is 23084932941.

14923948032 is a `hidden beast` number, since 149 + 23 + 9 + 480 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877879288 + ... + 877879304.

Almost surely, 214923948032 is an apocalyptic number.

14923948032 is a gapful number since it is divisible by the number (12) 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 14923948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27566691120).

14923948032 is an abundant number, since it is smaller than the sum of its proper divisors (40209434208).

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

14923948032 is an frugal number, since it uses more digits than its factorization.

14923948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14923948032 in words is "fourteen billion, nine hundred twenty-three million, nine hundred forty-eight thousand, thirty-two".