Search a number
-
+
4194946350 = 23252721719231
BaseRepresentation
bin1111101000001001…
…1100110100101110
3101211100112100120100
43322002130310232
532042401240400
61532132131530
7205645312200
oct37202346456
911740470510
104194946350
111862a35311
12990a66ba6
1351b12969a
142bb1bc770
15198432100
hexfa09cd2e

4194946350 has 648 divisors, whose sum is σ = 15123371328. Its totient is φ = 827366400.

The previous prime is 4194946307. The next prime is 4194946351. The reversal of 4194946350 is 536494914.

4194946350 is a `hidden beast` number, since 4 + 1 + 9 + 4 + 9 + 4 + 635 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4194946296 and 4194946305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194946351) by changing a digit.

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 323 ways as a sum of consecutive naturals, for example, 135320835 + ... + 135320865.

It is an arithmetic number, because the mean of its divisors is an integer number (23338536).

Almost surely, 24194946350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4194946350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561685664).

4194946350 is an abundant number, since it is smaller than the sum of its proper divisors (10928424978).

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

4194946350 is a wasteful number, since it uses less digits than its factorization.

4194946350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4194946350 is about 64768.4054921842. The cubic root of 4194946350 is about 1612.7812669627.

The spelling of 4194946350 in words is "four billion, one hundred ninety-four million, nine hundred forty-six thousand, three hundred fifty".