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38427540480 = 210345723161
BaseRepresentation
bin100011110010011101…
…011011110000000000
310200012002012022120000
4203302131123300000
51112144422243410
625353043320000
72530161463500
oct436235336000
9120162168500
1038427540480
111532a387a1a
127545380000
133815370144
141c07805a00
15eed927dc0
hex8f275bc00

38427540480 has 1320 divisors, whose sum is σ = 168062564736. Its totient is φ = 8360755200.

The previous prime is 38427540443. The next prime is 38427540499. The reversal of 38427540480 is 8404572483.

It is a happy number.

38427540480 is a `hidden beast` number, since 3 + 8 + 4 + 27 + 540 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 629959650 + ... + 629959710.

Almost surely, 238427540480 is an apocalyptic number.

38427540480 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 38427540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84031282368).

38427540480 is an abundant number, since it is smaller than the sum of its proper divisors (129635024256).

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

38427540480 is a wasteful number, since it uses less digits than its factorization.

38427540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 38427540480 in words is "thirty-eight billion, four hundred twenty-seven million, five hundred forty thousand, four hundred eighty".