Search a number
-
+
38080171008 = 210341141737
BaseRepresentation
bin100011011101110000…
…010100110000000000
310122021212120010020000
4203131300110300000
51110442010433013
625254354120000
72515443053505
oct433560246000
9118255503200
1038080171008
111517129a110
127468b80000
13378b3c8389
141bb36214ac
15ecd1ad973
hex8ddc14c00

38080171008 has 220 divisors, whose sum is σ = 124055520072. Its totient is φ = 11539169280.

The previous prime is 38080170991. The next prime is 38080171021. The reversal of 38080171008 is 80017108083.

It is a super-3 number, since 3×380801710083 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 891516 + ... + 933252.

Almost surely, 238080171008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38080171008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62027760036).

38080171008 is an abundant number, since it is smaller than the sum of its proper divisors (85975349064).

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

38080171008 is a wasteful number, since it uses less digits than its factorization.

38080171008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41780 (or 41753 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 38080171008 in words is "thirty-eight billion, eighty million, one hundred seventy-one thousand, eight".