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9199804138056 = 233275311314592089
BaseRepresentation
bin1000010111011111111100…
…0011101100001001001000
31012120111022011112200202200
42011313333003230021020
52201212144324404211
631322155350400200
71636443502631220
oct205677703541110
935514264480680
109199804138056
112a27684663354
121046b97960060
135196cb74320c
1423b3b6b81080
1510e494862b56
hex85dff0ec248

9199804138056 has 384 divisors, whose sum is σ = 29303692704000. Its totient is φ = 2553123815424.

The previous prime is 9199804138033. The next prime is 9199804138081. The reversal of 9199804138056 is 6508314089919.

9199804138056 is a `hidden beast` number, since 9 + 1 + 9 + 98 + 0 + 413 + 80 + 56 = 666.

9199804138056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×91998041380562 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 9199804137984 and 9199804138002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4403926260 + ... + 4403928348.

It is an arithmetic number, because the mean of its divisors is an integer number (76311699750).

Almost surely, 29199804138056 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 9199804138056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651846352000).

9199804138056 is an abundant number, since it is smaller than the sum of its proper divisors (20103888565944).

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

9199804138056 is a wasteful number, since it uses less digits than its factorization.

9199804138056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 9199804138056 in words is "nine trillion, one hundred ninety-nine billion, eight hundred four million, one hundred thirty-eight thousand, fifty-six".