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13949793792 = 2932112127197
BaseRepresentation
bin11001111110111100…
…01111011000000000
31100000011222221121100
430333132033120000
5212032121400132
610224120254400
71002455201514
oct147736173000
940004887540
1013949793792
115a09327600
122853911400
1314140b096c
14964968144
15569a1737c
hex33f78f600

13949793792 has 360 divisors, whose sum is σ = 44827630848. Its totient is φ = 4172636160.

The previous prime is 13949793743. The next prime is 13949793827. The reversal of 13949793792 is 29739794931.

13949793792 is a `hidden beast` number, since 1 + 394 + 97 + 93 + 79 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70811038 + ... + 70811234.

Almost surely, 213949793792 is an apocalyptic number.

13949793792 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 13949793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22413815424).

13949793792 is an abundant number, since it is smaller than the sum of its proper divisors (30877837056).

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

13949793792 is a wasteful number, since it uses less digits than its factorization.

13949793792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its digits is 23147208, while the sum is 63.

It can be divided in two parts, 139497 and 93792, that added together give a square (233289 = 4832).

The spelling of 13949793792 in words is "thirteen billion, nine hundred forty-nine million, seven hundred ninety-three thousand, seven hundred ninety-two".