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13988851200 = 293352172381
BaseRepresentation
bin11010000011100110…
…01110111000000000
31100002220111021022000
431001303032320000
5212122121214300
610232033344000
71003441162512
oct150163167000
940086437260
1013988851200
115a29383a55
122864a08000
13141c20745c
14969c13bb2
1556d17ec00
hex341ccee00

13988851200 has 480 divisors, whose sum is σ = 54389063520. Its totient is φ = 3509452800.

The previous prime is 13988851193. The next prime is 13988851223. The reversal of 13988851200 is 215888931.

It is a happy number.

13988851200 is a `hidden beast` number, since 1 + 398 + 8 + 8 + 51 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5874010 + ... + 5876390.

It is an arithmetic number, because the mean of its divisors is an integer number (113310549).

Almost surely, 213988851200 is an apocalyptic number.

13988851200 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 13988851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27194531760).

13988851200 is an abundant number, since it is smaller than the sum of its proper divisors (40400212320).

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

13988851200 is a wasteful number, since it uses less digits than its factorization.

13988851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 13988851200 in words is "thirteen billion, nine hundred eighty-eight million, eight hundred fifty-one thousand, two hundred".