Search a number
-
+
39425101320 = 233511233973271
BaseRepresentation
bin100100101101111010…
…110100111000001000
310202202121021122202210
4210231322310320020
51121220311220240
630040040425120
72563663555233
oct445572647010
9122677248683
1039425101320
11157a1495170
1277834781a0
133943c35027
141ca00ba41a
15105b2c6780
hex92deb4e08

39425101320 has 256 divisors, whose sum is σ = 135017902080. Its totient is φ = 9116236800.

The previous prime is 39425101283. The next prime is 39425101381. The reversal of 39425101320 is 2310152493.

It is a super-2 number, since 2×394251013202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12051285 + ... + 12054555.

It is an arithmetic number, because the mean of its divisors is an integer number (527413680).

Almost surely, 239425101320 is an apocalyptic number.

39425101320 is a gapful number since it is divisible by the number (30) 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 39425101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67508951040).

39425101320 is an abundant number, since it is smaller than the sum of its proper divisors (95592800760).

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

39425101320 is a wasteful number, since it uses less digits than its factorization.

39425101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 39425101320 in words is "thirty-nine billion, four hundred twenty-five million, one hundred one thousand, three hundred twenty".