Search a number
-
+
13939245936 = 2435711101461
BaseRepresentation
bin11001111101101100…
…00000001101110000
31022222110011001200000
430332312000031300
5212021421332221
610223102230000
71002266430660
oct147666001560
938873131600
1013939245936
115a03382870
122850285300
131411b59925
149633c01a0
15568b31e26
hex33ed80370

13939245936 has 480 divisors, whose sum is σ = 51047732736. Its totient is φ = 3576960000.

The previous prime is 13939245917. The next prime is 13939245941. The reversal of 13939245936 is 63954293931.

13939245936 is a `hidden beast` number, since 1 + 393 + 9 + 245 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30236746 + ... + 30237206.

Almost surely, 213939245936 is an apocalyptic number.

13939245936 is a gapful number since it is divisible by the number (16) 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 13939245936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25523866368).

13939245936 is an abundant number, since it is smaller than the sum of its proper divisors (37108486800).

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

13939245936 is a wasteful number, since it uses less digits than its factorization.

13939245936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 585 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The spelling of 13939245936 in words is "thirteen billion, nine hundred thirty-nine million, two hundred forty-five thousand, nine hundred thirty-six".