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38779231680 = 2633574671373
BaseRepresentation
bin100100000111011011…
…000001110111000000
310201002120222002012000
4210013123001313000
51113404440403210
625452005304000
72541662013330
oct440733016700
9121076862160
1038779231680
111549a957802
127623105000
133870199047
141c3c3d30c0
15101e747ac0
hex9076c1dc0

38779231680 has 448 divisors, whose sum is σ = 156796922880. Its totient is φ = 8838402048.

The previous prime is 38779231669. The next prime is 38779231721. The reversal of 38779231680 is 8613297783.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×387792316802 (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 28243474 + ... + 28244846.

Almost surely, 238779231680 is an apocalyptic number.

38779231680 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 38779231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78398461440).

38779231680 is an abundant number, since it is smaller than the sum of its proper divisors (118017691200).

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

38779231680 is a wasteful number, since it uses less digits than its factorization.

38779231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 38779231680 in words is "thirty-eight billion, seven hundred seventy-nine million, two hundred thirty-one thousand, six hundred eighty".