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38404828813 = 135415460661
BaseRepresentation
bin100011110001000110…
…110010111010001101
310200010111110110000011
4203301012302322031
51112123114010223
625350512433221
72526464441641
oct436106627215
9120114413004
1038404828813
111531858534a
127539848811
13381074a6a0
141c047b2c21
15eeb93d80d
hex8f11b2e8d

38404828813 has 8 divisors (see below), whose sum is σ = 41435503256. Its totient is φ = 35385076800.

The previous prime is 38404828753. The next prime is 38404828831. The reversal of 38404828813 is 31882840483.

38404828813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2633537124 + 35771291689 = 51318^2 + 189133^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38404828813 is a prime.

It is the 195972-nd Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38404828853) by changing a digit.

It is a nontrivial repunit in base 195971.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2723298 + ... + 2737363.

It is an arithmetic number, because the mean of its divisors is an integer number (5179437907).

Almost surely, 238404828813 is an apocalyptic number.

It is an amenable number.

38404828813 is a deficient number, since it is larger than the sum of its proper divisors (3030674443).

38404828813 is a wasteful number, since it uses less digits than its factorization.

38404828813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461215.

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 38404828813 in words is "thirty-eight billion, four hundred four million, eight hundred twenty-eight thousand, eight hundred thirteen".

Divisors: 1 13 541 7033 5460661 70988593 2954217601 38404828813