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13203862056 = 23337111724167
BaseRepresentation
bin11000100110000001…
…01111001000101000
31021002012101200122000
430103000233020220
5204020142041211
610022112331000
7645126655440
oct142300571050
937065350560
1013203862056
115666265aa0
122685b43a60
1313256abb38
148d3875120
155242c0656
hex31302f228

13203862056 has 768 divisors, whose sum is σ = 50503219200. Its totient is φ = 3102105600.

The previous prime is 13203862019. The next prime is 13203862093. The reversal of 13203862056 is 65026830231.

It is a happy number.

13203862056 is a `hidden beast` number, since 1 + 3 + 20 + 3 + 8 + 620 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13203862019) and next prime (13203862093).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13203862056.

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, 197072535 + ... + 197072601.

It is an arithmetic number, because the mean of its divisors is an integer number (65759400).

Almost surely, 213203862056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203862056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25251609600).

13203862056 is an abundant number, since it is smaller than the sum of its proper divisors (37299357144).

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

13203862056 is a wasteful number, since it uses less digits than its factorization.

13203862056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13203862056 in words is "thirteen billion, two hundred three million, eight hundred sixty-two thousand, fifty-six".