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32381227008 = 2123313101223
BaseRepresentation
bin11110001010000100…
…100101000000000000
310002120200222202202000
4132022010211000000
51012304043231013
622513054024000
72224302613434
oct361204450000
9102520882660
1032381227008
11128073a4139
1263384a8000
133090809c70
1417d27bc9c4
15c97be2973
hex78a125000

32381227008 has 416 divisors, whose sum is σ = 104802862080. Its totient is φ = 9820569600.

The previous prime is 32381227001. The next prime is 32381227049. The reversal of 32381227008 is 80072218323.

It is a happy number.

32381227008 is a `hidden beast` number, since 3 + 2 + 381 + 2 + 270 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32381227001) 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, 145207185 + ... + 145207407.

Almost surely, 232381227008 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 32381227008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52401431040).

32381227008 is an abundant number, since it is smaller than the sum of its proper divisors (72421635072).

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

32381227008 is a wasteful number, since it uses less digits than its factorization.

32381227008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 32381227008 in words is "thirty-two billion, three hundred eighty-one million, two hundred twenty-seven thousand, eight".