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3944819970 = 2325721326779
BaseRepresentation
bin1110101100100001…
…0010110100000010
3101011220212121200100
43223020102310002
531034333214340
61451235103230
7166520262600
oct35310226402
911156777610
103944819970
1117448256a3
12921141b16
134ab371600
14295cac870
151814c5830
hexeb212d02

3944819970 has 432 divisors, whose sum is σ = 13278245760. Its totient is φ = 809512704.

The previous prime is 3944819947. The next prime is 3944819971. The reversal of 3944819970 is 799184493.

3944819970 is a `hidden beast` number, since 3 + 9 + 4 + 481 + 99 + 70 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3944819971) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 49934391 + ... + 49934469.

It is an arithmetic number, because the mean of its divisors is an integer number (30736680).

Almost surely, 23944819970 is an apocalyptic number.

3944819970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3944819970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639122880).

3944819970 is an abundant number, since it is smaller than the sum of its proper divisors (9333425790).

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

3944819970 is a wasteful number, since it uses less digits than its factorization.

3944819970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3944819970 is about 62807.8018242957. The cubic root of 3944819970 is about 1580.0678240927.

The spelling of 3944819970 in words is "three billion, nine hundred forty-four million, eight hundred nineteen thousand, nine hundred seventy".