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13348823040 = 21332572739
BaseRepresentation
bin11000110111010011…
…01110000000000000
31021110022011110201100
430123221232000000
5204314244314130
610044331334400
7651540060300
oct143351560000
937408143640
1013348823040
115730076363
1227065b1400
131349735277
14908c0b600
15531da6c60
hex31ba6e000

13348823040 has 504 divisors, whose sum is σ = 53900725320. Its totient is φ = 3047030784.

The previous prime is 13348823029. The next prime is 13348823041. The reversal of 13348823040 is 4032884331.

It is a happy number.

13348823040 is a `hidden beast` number, since 1 + 3 + 348 + 8 + 2 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13348822986 and 13348823004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13348823041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 18062991 + ... + 18063729.

Almost surely, 213348823040 is an apocalyptic number.

13348823040 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 13348823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26950362660).

13348823040 is an abundant number, since it is smaller than the sum of its proper divisors (40551902280).

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

13348823040 is an equidigital number, since it uses as much as digits as its factorization.

13348823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13348823040 in words is "thirteen billion, three hundred forty-eight million, eight hundred twenty-three thousand, forty".