Search a number
-
+
3803381568 = 2635732331
BaseRepresentation
bin1110001010110010…
…1111111101000000
3100211001201210200000
43202230233331000
530242131202233
61425223400000
7163152132000
oct34254577500
910731653600
103803381568
111681a00958
128a18b3000
13487c7c64c
142811b2000
15173d87d13
hexe2b2ff40

3803381568 has 672 divisors, whose sum is σ = 14201241600. Its totient is φ = 1005903360.

The previous prime is 3803381521. The next prime is 3803381597. The reversal of 3803381568 is 8651833083.

3803381568 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 3 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×38033815682 = 28931422703604277248, which 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122689713 + ... + 122689743.

It is an arithmetic number, because the mean of its divisors is an integer number (21132800).

Almost surely, 23803381568 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 3803381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100620800).

3803381568 is an abundant number, since it is smaller than the sum of its proper divisors (10397860032).

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

3803381568 is an equidigital number, since it uses as much as digits as its factorization.

3803381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3803381568 is about 61671.5620687526. The cubic root of 3803381568 is about 1560.9534999253.

The spelling of 3803381568 in words is "three billion, eight hundred three million, three hundred eighty-one thousand, five hundred sixty-eight".