Search a number
-
+
4106918970 = 23357111937281
BaseRepresentation
bin1111010011001010…
…1001110000111010
3101121012220002201000
43310302221300322
531402332401340
61515305305430
7203526143460
oct36462516072
911535802630
104106918970
111818281010
12967495276
13505b1858b
142ad626830
15190844d30
hexf4ca9c3a

4106918970 has 512 divisors, whose sum is σ = 14813798400. Its totient is φ = 783820800.

The previous prime is 4106918969. The next prime is 4106918983. The reversal of 4106918970 is 798196014.

It is a happy number.

4106918970 is a `hidden beast` number, since 410 + 6 + 91 + 89 + 70 = 666.

It is a super-2 number, since 2×41069189702 = 33733566852291721800, which contains 22 as substring.

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

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 255 ways as a sum of consecutive naturals, for example, 14615230 + ... + 14615510.

It is an arithmetic number, because the mean of its divisors is an integer number (28933200).

Almost surely, 24106918970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106918970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406899200).

4106918970 is an abundant number, since it is smaller than the sum of its proper divisors (10706879430).

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

4106918970 is a wasteful number, since it uses less digits than its factorization.

4106918970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 4106918970 is about 64085.2476783854. The cubic root of 4106918970 is about 1601.4204794111.

The spelling of 4106918970 in words is "four billion, one hundred six million, nine hundred eighteen thousand, nine hundred seventy".