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38869498080 = 25335729127349
BaseRepresentation
bin100100001100110011…
…010111100011100000
310201022212211002102000
4210030303113203200
51114101042414310
625504552124000
72544136165560
oct441463274340
9121285732360
1038869498080
1115536900236
127649396600
133885ab230a
141c4a3acda0
1510276284c0
hex90ccd78e0

38869498080 has 768 divisors, whose sum is σ = 162570240000. Its totient is φ = 8486166528.

The previous prime is 38869498069. The next prime is 38869498111. The reversal of 38869498080 is 8089496883.

38869498080 is a `hidden beast` number, since 3 + 8 + 8 + 69 + 498 + 0 + 80 = 666.

It is a super-2 number, since 2×388694980802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38869497999 and 38869498017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111373746 + ... + 111374094.

It is an arithmetic number, because the mean of its divisors is an integer number (211680000).

Almost surely, 238869498080 is an apocalyptic number.

38869498080 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 38869498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120000).

38869498080 is an abundant number, since it is smaller than the sum of its proper divisors (123700741920).

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

38869498080 is a wasteful number, since it uses less digits than its factorization.

38869498080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 38869498080 in words is "thirty-eight billion, eight hundred sixty-nine million, four hundred ninety-eight thousand, eighty".