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38332245856 = 2519283222779
BaseRepresentation
bin100011101100110001…
…111010011101100000
310122221102212211220111
4203230301322131200
51112001023331411
625335401021104
72524623466552
oct435461723540
9118842784814
1038332245856
111529060a733
127519484794
1337cb6b62a8
141bd8cbb4d2
15ee53a2721
hex8ecc7a760

38332245856 has 48 divisors (see below), whose sum is σ = 79719595200. Its totient is φ = 18093138048.

The previous prime is 38332245823. The next prime is 38332245871. The reversal of 38332245856 is 65854223383.

38332245856 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 2×383322458562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60675 + ... + 283453.

It is an arithmetic number, because the mean of its divisors is an integer number (1660824900).

Almost surely, 238332245856 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 38332245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39859797600).

38332245856 is an abundant number, since it is smaller than the sum of its proper divisors (41387349344).

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

38332245856 is a wasteful number, since it uses less digits than its factorization.

38332245856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223091 (or 223083 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 38332245856 in words is "thirty-eight billion, three hundred thirty-two million, two hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 283 304 566 608 1132 2264 4528 5377 9056 10754 21508 43016 86032 172064 222779 445558 891116 1782232 3564464 4232801 7128928 8465602 16931204 33862408 63046457 67724816 126092914 135449632 252185828 504371656 1008743312 1197882683 2017486624 2395765366 4791530732 9583061464 19166122928 38332245856