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13888039680 = 283452931149
BaseRepresentation
bin11001110111100101…
…01010101100000000
31022211212210111220000
430323302222230000
5211420314232210
610214032520000
71001105250414
oct147362525400
938755714800
1013888039680
115987488849
1228370b0000
13140436b478
1495a690d44
155643b9ac0
hex33bcaab00

13888039680 has 720 divisors, whose sum is σ = 53421984000. Its totient is φ = 3437199360.

The previous prime is 13888039637. The next prime is 13888039717. The reversal of 13888039680 is 8693088831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93208246 + ... + 93208394.

It is an arithmetic number, because the mean of its divisors is an integer number (74197200).

Almost surely, 213888039680 is an apocalyptic number.

13888039680 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 13888039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26710992000).

13888039680 is an abundant number, since it is smaller than the sum of its proper divisors (39533944320).

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

13888039680 is a wasteful number, since it uses less digits than its factorization.

13888039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

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

The spelling of 13888039680 in words is "thirteen billion, eight hundred eighty-eight million, thirty-nine thousand, six hundred eighty".