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19940925312 = 2732711415483
BaseRepresentation
bin10010100100100100…
…100101111110000000
31220110201100222000100
4102210210211332000
5311314334102222
613054415122400
71304104032330
oct224444457600
956421328010
1019940925312
118503150370
123a46213400
131b5a392bb9
14d725090c0
157ba99c4ac
hex4a4925f80

19940925312 has 384 divisors, whose sum is σ = 73299582720. Its totient is φ = 5052211200.

The previous prime is 19940925289. The next prime is 19940925337. The reversal of 19940925312 is 21352904991.

19940925312 is a `hidden beast` number, since 199 + 409 + 2 + 53 + 1 + 2 = 666.

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

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, 3634123 + ... + 3639605.

It is an arithmetic number, because the mean of its divisors is an integer number (190884330).

Almost surely, 219940925312 is an apocalyptic number.

19940925312 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 19940925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36649791360).

19940925312 is an abundant number, since it is smaller than the sum of its proper divisors (53358657408).

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

19940925312 is a wasteful number, since it uses less digits than its factorization.

19940925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 19940925312 in words is "nineteen billion, nine hundred forty million, nine hundred twenty-five thousand, three hundred twelve".