Search a number
-
+
38019598128 = 243388008329
BaseRepresentation
bin100011011010001001…
…010000011100110000
310122010122120200212000
4203122021100130300
51110331004120003
625244351534000
72514106152261
oct433211203460
9118118520760
1038019598128
1115140087886
12745082a300
13377b9aa735
141ba9574968
15ec7be61a3
hex8da250730

38019598128 has 40 divisors (see below), whose sum is σ = 109130329200. Its totient is φ = 12673199232.

The previous prime is 38019598121. The next prime is 38019598189. The reversal of 38019598128 is 82189591083.

38019598128 is a `hidden beast` number, since 38 + 0 + 1 + 9 + 598 + 12 + 8 = 666.

It is a super-2 number, since 2×380195981282 (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 not an unprimeable number, because it can be changed into a prime (38019598121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44003733 + ... + 44004596.

It is an arithmetic number, because the mean of its divisors is an integer number (2728258230).

Almost surely, 238019598128 is an apocalyptic number.

It is an amenable number.

38019598128 is an abundant number, since it is smaller than the sum of its proper divisors (71110731072).

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

38019598128 is a wasteful number, since it uses less digits than its factorization.

38019598128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88008346 (or 88008334 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 38019598128 in words is "thirty-eight billion, nineteen million, five hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 88008329 176016658 264024987 352033316 528049974 704066632 792074961 1056099948 1408133264 1584149922 2112199896 2376224883 3168299844 4224399792 4752449766 6336599688 9504899532 12673199376 19009799064 38019598128