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13238453376 = 2737192131
BaseRepresentation
bin11000101010001001…
…01100010010000000
31021011121111010000000
430111010230102000
5204103021002001
610025350000000
7646026665661
oct142504542200
937147433000
1013238453376
115683841a65
122695646000
13132c900885
148d82bb368
15527354a86
hex31512c480

13238453376 has 384 divisors, whose sum is σ = 42064228800. Its totient is φ = 4148651520.

The previous prime is 13238453359. The next prime is 13238453381. The reversal of 13238453376 is 67335483231.

13238453376 is a `hidden beast` number, since 1 + 3 + 238 + 45 + 3 + 376 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101056831 + ... + 101056961.

Almost surely, 213238453376 is an apocalyptic number.

13238453376 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 13238453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21032114400).

13238453376 is an abundant number, since it is smaller than the sum of its proper divisors (28825775424).

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

13238453376 is an frugal number, since it uses more digits than its factorization.

13238453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 155 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 13238453376 in words is "thirteen billion, two hundred thirty-eight million, four hundred fifty-three thousand, three hundred seventy-six".