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38192073696 = 25337371031657
BaseRepresentation
bin100011100100011011…
…001100101111100000
310122120200010100212000
4203210123030233200
51111204132324241
625313432404000
72521302161430
oct434433145740
9118520110760
1038192073696
1115219480277
12749a546600
1337a864879a
141bc44302c0
15ed7e14eb6
hex8e46ccbe0

38192073696 has 384 divisors, whose sum is σ = 132096706560. Its totient is φ = 10507677696.

The previous prime is 38192073683. The next prime is 38192073721. The reversal of 38192073696 is 69637029183.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23048100 + ... + 23049756.

It is an arithmetic number, because the mean of its divisors is an integer number (344001840).

Almost surely, 238192073696 is an apocalyptic number.

38192073696 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 38192073696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66048353280).

38192073696 is an abundant number, since it is smaller than the sum of its proper divisors (93904632864).

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

38192073696 is a wasteful number, since it uses less digits than its factorization.

38192073696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 38192073696 in words is "thirty-eight billion, one hundred ninety-two million, seventy-three thousand, six hundred ninety-six".