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38863496448 = 2832719912109
BaseRepresentation
bin100100001100011100…
…011110010100000000
310201022110112011201100
4210030130132110000
51114043023341243
625504215334400
72544034161240
oct441434362400
9121273464640
1038863496448
1115533481107
127647381400
13388479065a
141c49689b20
151026d400d3
hex90c71e500

38863496448 has 216 divisors, whose sum is σ = 128714768000. Its totient is φ = 11047145472.

The previous prime is 38863496431. The next prime is 38863496461. The reversal of 38863496448 is 84469436883.

38863496448 is a `hidden beast` number, since 3 + 88 + 63 + 496 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3203418 + ... + 3215526.

Almost surely, 238863496448 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 38863496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64357384000).

38863496448 is an abundant number, since it is smaller than the sum of its proper divisors (89851271552).

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

38863496448 is a wasteful number, since it uses less digits than its factorization.

38863496448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337 (or 12320 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 38863496448 in words is "thirty-eight billion, eight hundred sixty-three million, four hundred ninety-six thousand, four hundred forty-eight".