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38221471680 = 2635715833593
BaseRepresentation
bin100011100110001011…
…010101111111000000
310122122201102221022020
4203212023111333000
51111234144043210
625320402441440
72522110102020
oct434613257700
9118581387266
1038221471680
111523402a427
1274a8363280
1337b176c742
141bc82c3a80
15eda7c0770
hex8e62d5fc0

38221471680 has 224 divisors, whose sum is σ = 138815576064. Its totient is φ = 8728387584.

The previous prime is 38221471667. The next prime is 38221471681. The reversal of 38221471680 is 8617412283.

38221471680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38221471681) 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, 10635964 + ... + 10639556.

Almost surely, 238221471680 is an apocalyptic number.

38221471680 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 38221471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69407788032).

38221471680 is an abundant number, since it is smaller than the sum of its proper divisors (100594104384).

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

38221471680 is a wasteful number, since it uses less digits than its factorization.

38221471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 38221471680 in words is "thirty-eight billion, two hundred twenty-one million, four hundred seventy-one thousand, six hundred eighty".