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13801898880 = 2733571122341
BaseRepresentation
bin11001101101010100…
…00100001110000000
31022121212201002221000
430312222010032000
5211231241231010
610201314332000
7666011130150
oct146652041600
938555632830
1013801898880
1159428a2a00
12281228a000
1313bc56ac93
1494d06a760
1555ba517c0
hex336a84380

13801898880 has 1536 divisors, whose sum is σ = 65637734400. Its totient is φ = 2676326400.

The previous prime is 13801898809. The next prime is 13801898939. The reversal of 13801898880 is 8889810831.

13801898880 is a `hidden beast` number, since 1 + 380 + 189 + 8 + 8 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336631660 + ... + 336631700.

It is an arithmetic number, because the mean of its divisors is an integer number (42732900).

Almost surely, 213801898880 is an apocalyptic number.

13801898880 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 13801898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818867200).

13801898880 is an abundant number, since it is smaller than the sum of its proper divisors (51835835520).

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

13801898880 is a wasteful number, since it uses less digits than its factorization.

13801898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 13801898880 in words is "thirteen billion, eight hundred one million, eight hundred ninety-eight thousand, eight hundred eighty".