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13432421376 = 2103311291523
BaseRepresentation
bin11001000001010001…
…00111110000000000
31021200010110201002000
430200220213300000
5210002144441001
610100515224000
7653603461233
oct144050476000
937603421060
1013432421376
115773284aa0
12272a5a8000
131360b5543a
14915d6d41a
155393bba86
hex320a27c00

13432421376 has 352 divisors, whose sum is σ = 44922643200. Its totient is φ = 3927490560.

The previous prime is 13432421357. The next prime is 13432421411. The reversal of 13432421376 is 67312423431.

13432421376 is a `hidden beast` number, since 1 + 3 + 43 + 242 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13432421376.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8818951 + ... + 8820473.

Almost surely, 213432421376 is an apocalyptic number.

13432421376 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 13432421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22461321600).

13432421376 is an abundant number, since it is smaller than the sum of its proper divisors (31490221824).

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

13432421376 is a wasteful number, since it uses less digits than its factorization.

13432421376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1568 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 13432421376 in words is "thirteen billion, four hundred thirty-two million, four hundred twenty-one thousand, three hundred seventy-six".