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38422133640 = 2332511192917609
BaseRepresentation
bin100011110010001000…
…110011101110001000
310200011201000121202200
4203302020303232020
51112142031234030
625352331400200
72530064514222
oct436210635610
9120151017680
1038422133640
1115327324760
1275435b3060
1338141c9127
141c06bd9412
15eed20ad60
hex8f2233b88

38422133640 has 384 divisors, whose sum is σ = 148346640000. Its totient is φ = 8519454720.

The previous prime is 38422133639. The next prime is 38422133683. The reversal of 38422133640 is 4633122483.

38422133640 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 2 + 1 + 3 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38422133595 and 38422133604.

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, 2173156 + ... + 2190764.

It is an arithmetic number, because the mean of its divisors is an integer number (386319375).

Almost surely, 238422133640 is an apocalyptic number.

38422133640 is a gapful number since it is divisible by the number (30) 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 38422133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74173320000).

38422133640 is an abundant number, since it is smaller than the sum of its proper divisors (109924506360).

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

38422133640 is a wasteful number, since it uses less digits than its factorization.

38422133640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17685 (or 17678 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 38422133640 in words is "thirty-eight billion, four hundred twenty-two million, one hundred thirty-three thousand, six hundred forty".