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38456652096 = 2633235091901
BaseRepresentation
bin100011110100001100…
…011111000101000000
310200021002222100012000
4203310030133011000
51112224400331341
625400003304000
72530664102142
oct436414370500
9120232870160
1038456652096
1115344860a05
12755307b000
13381b3c3955
141c0b622c92
1510012788b6
hex8f431f140

38456652096 has 224 divisors, whose sum is σ = 118264838400. Its totient is φ = 12231014400.

The previous prime is 38456652029. The next prime is 38456652167. The reversal of 38456652096 is 69025665483.

38456652096 is a `hidden beast` number, since 384 + 56 + 6 + 5 + 209 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20228746 + ... + 20230646.

Almost surely, 238456652096 is an apocalyptic number.

38456652096 is a gapful number since it is divisible by the number (36) 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 38456652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59132419200).

38456652096 is an abundant number, since it is smaller than the sum of its proper divisors (79808186304).

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

38456652096 is a wasteful number, since it uses less digits than its factorization.

38456652096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 38456652096 in words is "thirty-eight billion, four hundred fifty-six million, six hundred fifty-two thousand, ninety-six".