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38697295680 = 2632541327721
BaseRepresentation
bin100100000010100010…
…011101111101000000
310200212212210022010100
4210002202131331000
51113223001430210
625435521202400
72536645405011
oct440242357500
9120785708110
1038697295680
1115458683aaa
1275bb790400
13385920b6c4
141c31585008
1510174605c0
hex90289df40

38697295680 has 168 divisors, whose sum is σ = 136349393544. Its totient is φ = 10067558400.

The previous prime is 38697295667. The next prime is 38697295697. The reversal of 38697295680 is 8659279683.

38697295680 is a `hidden beast` number, since 3 + 8 + 69 + 7 + 2 + 9 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3707348544 + 34989947136 = 60888^2 + 187056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45781 + ... + 281940.

It is an arithmetic number, because the mean of its divisors is an integer number (811603533).

Almost surely, 238697295680 is an apocalyptic number.

38697295680 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 38697295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68174696772).

38697295680 is an abundant number, since it is smaller than the sum of its proper divisors (97652097864).

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

38697295680 is a wasteful number, since it uses less digits than its factorization.

38697295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327785 (or 327772 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 38697295680 in words is "thirty-eight billion, six hundred ninety-seven million, two hundred ninety-five thousand, six hundred eighty".