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14929338996 = 2232111321959199
BaseRepresentation
bin11011110011101101…
…11010001001110100
31102112110012000000100
431321312322021310
5221033402321441
610505231314100
71035651200445
oct157166721164
942473160010
1014929338996
11637124a3a0
122a8797b930
13153c008700
14a18aad2cc
155c5a07cb6
hex379dba274

14929338996 has 432 divisors, whose sum is σ = 47960640000. Its totient is φ = 3869648640.

The previous prime is 14929338959. The next prime is 14929339027. The reversal of 14929338996 is 69983392941.

14929338996 is a `hidden beast` number, since 149 + 29 + 3 + 389 + 96 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (22674816) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75021705 + ... + 75021903.

It is an arithmetic number, because the mean of its divisors is an integer number (111020000).

Almost surely, 214929338996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14929338996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23980320000).

14929338996 is an abundant number, since it is smaller than the sum of its proper divisors (33031301004).

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

14929338996 is a wasteful number, since it uses less digits than its factorization.

14929338996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 14929338996 in words is "fourteen billion, nine hundred twenty-nine million, three hundred thirty-eight thousand, nine hundred ninety-six".