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13926398976 = 210327230839
BaseRepresentation
bin11001111100001001…
…11111110000000000
31022221112222100221200
430332010333300000
5212010124231401
610221523021200
71002052303200
oct147604776000
938845870850
1013926398976
1159a70a8746
122847b0a800
13140c2ac289
149617d8400
15567945686
hex33e13fc00

13926398976 has 198 divisors, whose sum is σ = 46778944680. Its totient is φ = 3978842112.

The previous prime is 13926398923. The next prime is 13926399013. The reversal of 13926398976 is 67989362931.

13926398976 is a `hidden beast` number, since 139 + 26 + 398 + 97 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 436165 + ... + 467003.

Almost surely, 213926398976 is an apocalyptic number.

13926398976 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 13926398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23389472340).

13926398976 is an abundant number, since it is smaller than the sum of its proper divisors (32852545704).

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

13926398976 is a wasteful number, since it uses less digits than its factorization.

13926398976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30879 (or 30851 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 13926398976 in words is "thirteen billion, nine hundred twenty-six million, three hundred ninety-eight thousand, nine hundred seventy-six".