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38522000832 = 2637197121247
BaseRepresentation
bin100011111000000101…
…110001010111000000
310200102122221101210120
4203320011301113000
51112343113011312
625410300100240
72532416414220
oct437005612700
9120378841716
1038522000832
1115378735427
127570b34680
13382bac4343
141c16194080
151006d8628c
hex8f81715c0

38522000832 has 224 divisors, whose sum is σ = 124346695680. Its totient is φ = 10279664640.

The previous prime is 38522000831. The next prime is 38522000843. The reversal of 38522000832 is 23800022583.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 38522000793 and 38522000802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38522000831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1802433 + ... + 1823679.

Almost surely, 238522000832 is an apocalyptic number.

38522000832 is a gapful number since it is divisible by the number (32) 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 38522000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62173347840).

38522000832 is an abundant number, since it is smaller than the sum of its proper divisors (85824694848).

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

38522000832 is a wasteful number, since it uses less digits than its factorization.

38522000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21359 (or 21349 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 38522000832 in words is "thirty-eight billion, five hundred twenty-two million, eight hundred thirty-two", and thus it is an aban number.