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38463130836 = 2232131731277563
BaseRepresentation
bin100011110100100101…
…001100110011010100
310200021120011111100100
4203310211030303110
51112233030141321
625400354214100
72531103134454
oct436445146324
9120246144310
1038463130836
1115348486539
127555284330
13381c851820
141c0c42bd64
151001b08326
hex8f494ccd4

38463130836 has 288 divisors, whose sum is σ = 115057732608. Its totient is φ = 10721341440.

The previous prime is 38463130831. The next prime is 38463130859. The reversal of 38463130836 is 63803136483.

38463130836 is a `hidden beast` number, since 3 + 8 + 4 + 631 + 3 + 0 + 8 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38463130791 and 38463130800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38463130831) 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 95 ways as a sum of consecutive naturals, for example, 68317891 + ... + 68318453.

It is an arithmetic number, because the mean of its divisors is an integer number (399506016).

Almost surely, 238463130836 is an apocalyptic number.

38463130836 is a gapful number since it is divisible by the number (36) 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 38463130836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57528866304).

38463130836 is an abundant number, since it is smaller than the sum of its proper divisors (76594601772).

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

38463130836 is a wasteful number, since it uses less digits than its factorization.

38463130836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 38463130836 in words is "thirty-eight billion, four hundred sixty-three million, one hundred thirty thousand, eight hundred thirty-six".