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13989084480 = 2633572173191
BaseRepresentation
bin11010000011101000…
…00111110101000000
31100002220221010022000
431001310013311000
5212122201200410
610232042344000
71003443153600
oct150164076500
940086833260
1013989084480
115a29523248
122864abb000
13141c2896a7
14969c74c00
1556d1c8dc0
hex341d07d40

13989084480 has 672 divisors, whose sum is σ = 58041722880. Its totient is φ = 3162378240.

The previous prime is 13989084443. The next prime is 13989084509. The reversal of 13989084480 is 8448098931.

13989084480 is a `hidden beast` number, since 1 + 3 + 9 + 89 + 0 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 73241185 + ... + 73241375.

Almost surely, 213989084480 is an apocalyptic number.

13989084480 is a gapful number since it is divisible by the number (10) 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 13989084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29020861440).

13989084480 is an abundant number, since it is smaller than the sum of its proper divisors (44052638400).

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

13989084480 is a wasteful number, since it uses less digits than its factorization.

13989084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 13989084480 in words is "thirteen billion, nine hundred eighty-nine million, eighty-four thousand, four hundred eighty".