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38689523712 = 2113271731569
BaseRepresentation
bin100100000010000100…
…110100100000000000
310200212100011102222200
4210002010310200000
51113214004224322
625435042433200
72536522345140
oct440204644000
9120770142880
1038689523712
1115454255894
1275b9062800
133857719cc8
141c30520920
1510169278ac
hex902134800

38689523712 has 576 divisors, whose sum is σ = 139824921600. Its totient is φ = 10050600960.

The previous prime is 38689523687. The next prime is 38689523723. The reversal of 38689523712 is 21732598683.

38689523712 is a `hidden beast` number, since 38 + 6 + 89 + 523 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×386895237122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67995364 + ... + 67995932.

It is an arithmetic number, because the mean of its divisors is an integer number (242751600).

Almost surely, 238689523712 is an apocalyptic number.

38689523712 is a gapful number since it is divisible by the number (32) 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 38689523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69912460800).

38689523712 is an abundant number, since it is smaller than the sum of its proper divisors (101135397888).

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

38689523712 is a wasteful number, since it uses less digits than its factorization.

38689523712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 38689523712 in words is "thirty-eight billion, six hundred eighty-nine million, five hundred twenty-three thousand, seven hundred twelve".