Search a number
-
+
38710610000 = 245423473581
BaseRepresentation
bin100100000011010101…
…010000100001010000
310200220210211201221022
4210003111100201100
51113234404010000
625441114415012
72540166520166
oct440325204120
9120823751838
1038710610000
1115465148277
127604131468
13385bbc09ba
141c3324d236
1510186e0585
hex903550850

38710610000 has 200 divisors, whose sum is σ = 99905819904. Its totient is φ = 14491840000.

The previous prime is 38710609991. The next prime is 38710610021. The reversal of 38710610000 is 1601783.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×387106100002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10808210 + ... + 10811790.

Almost surely, 238710610000 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 38710610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49952909952).

38710610000 is an abundant number, since it is smaller than the sum of its proper divisors (61195209904).

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

38710610000 is a wasteful number, since it uses less digits than its factorization.

38710610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 38710610000 in words is "thirty-eight billion, seven hundred ten million, six hundred ten thousand".