Search a number
-
+
38419825968 = 24322311600189
BaseRepresentation
bin100011110010000000…
…000000010100110000
310200011112200101020100
4203302000000110300
51112140433412333
625352210112400
72530036063266
oct436200002460
9120145611210
1038419825968
1115325a98997
12754287b700
13381389b944
141c06798436
15eece02213
hex8f2000530

38419825968 has 60 divisors (see below), whose sum is σ = 112197037680. Its totient is φ = 12249798528.

The previous prime is 38419825949. The next prime is 38419825979. The reversal of 38419825968 is 86952891483.

38419825968 is a `hidden beast` number, since 38 + 4 + 1 + 9 + 8 + 2 + 596 + 8 = 666.

It is a super-2 number, since 2×384198259682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5796783 + ... + 5803406.

It is an arithmetic number, because the mean of its divisors is an integer number (1869950628).

Almost surely, 238419825968 is an apocalyptic number.

It is an amenable number.

38419825968 is an abundant number, since it is smaller than the sum of its proper divisors (73777211712).

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

38419825968 is a wasteful number, since it uses less digits than its factorization.

38419825968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600226 (or 11600217 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 38419825968 in words is "thirty-eight billion, four hundred nineteen million, eight hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 11600189 23200378 34800567 46400756 69601134 92801512 104401701 139202268 185603024 208803402 266804347 278404536 417606804 533608694 556809072 800413041 835213608 1067217388 1600826082 1670427216 2134434776 2401239123 3201652164 4268869552 4802478246 6403304328 9604956492 12806608656 19209912984 38419825968