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39283663680 = 2632537368653
BaseRepresentation
bin100100100101011111…
…010010001101000000
310202101202010212210200
4210211133102031000
51120423104214210
630014025125200
72560325426502
oct444537221500
9122352125720
1039283663680
1115729670a58
127744029800
133920843511
141c893bdd72
15104db890c0
hex9257d2340

39283663680 has 168 divisors, whose sum is σ = 138771687912. Its totient is φ = 10192490496.

The previous prime is 39283663669. The next prime is 39283663691. The reversal of 39283663680 is 8636638293.

It is an interprime number because it is at equal distance from previous prime (39283663669) and next prime (39283663691).

It can be written as a sum of positive squares in 4 ways, for example, as 14503866624 + 24779797056 = 120432^2 + 157416^2 .

It is a super-2 number, since 2×392836636802 (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 23 ways as a sum of consecutive naturals, for example, 77767 + ... + 290886.

Almost surely, 239283663680 is an apocalyptic number.

39283663680 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 39283663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69385843956).

39283663680 is an abundant number, since it is smaller than the sum of its proper divisors (99488024232).

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

39283663680 is a wasteful number, since it uses less digits than its factorization.

39283663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368713 (or 368700 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 39283663680 in words is "thirty-nine billion, two hundred eighty-three million, six hundred sixty-three thousand, six hundred eighty".