Search a number
-
+
39482214912 = 29347219429
BaseRepresentation
bin100100110001010100…
…101100101000000000
310202220120202022220000
4210301110230220000
51121324421334122
630045440520000
72565256201200
oct446124545000
9122816668800
1039482214912
1115820754488
12779a620000
133952a1125a
141ca7906400
1510613090ac
hex93152ca00

39482214912 has 300 divisors, whose sum is σ = 137090910330. Its totient is φ = 11280052224.

The previous prime is 39482214899. The next prime is 39482214949. The reversal of 39482214912 is 21941228493.

It can be written as a sum of positive squares in only one way, i.e., 39432427776 + 49787136 = 198576^2 + 7056^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2022414 + ... + 2041842.

Almost surely, 239482214912 is an apocalyptic number.

39482214912 is a gapful number since it is divisible by the number (32) 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 39482214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68545455165).

39482214912 is an abundant number, since it is smaller than the sum of its proper divisors (97608695418).

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

39482214912 is an equidigital number, since it uses as much as digits as its factorization.

39482214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19473 (or 19441 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 39482214912 in words is "thirty-nine billion, four hundred eighty-two million, two hundred fourteen thousand, nine hundred twelve".