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13920974280 = 233551784247
BaseRepresentation
bin11001111011100000…
…10011010111001000
31022221011202202200000
430331300103113020
5212002232134110
610221210443000
71001655220563
oct147560232710
938834682600
1013920974280
1159a4033024
122846133460
13140b1300b5
14960bc54da
155672231c0
hex33dc135c8

13920974280 has 192 divisors, whose sum is σ = 49679360640. Its totient is φ = 3493850112.

The previous prime is 13920974261. The next prime is 13920974281. The reversal of 13920974280 is 8247902931.

13920974280 is a `hidden beast` number, since 13 + 9 + 209 + 7 + 428 + 0 = 666.

13920974280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13920974281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123117 + ... + 207363.

It is an arithmetic number, because the mean of its divisors is an integer number (258746670).

Almost surely, 213920974280 is an apocalyptic number.

13920974280 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 13920974280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24839680320).

13920974280 is an abundant number, since it is smaller than the sum of its proper divisors (35758386360).

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

13920974280 is a wasteful number, since it uses less digits than its factorization.

13920974280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84290 (or 84274 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13920974280 in words is "thirteen billion, nine hundred twenty million, nine hundred seventy-four thousand, two hundred eighty".