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4196000641 = 71967746601
BaseRepresentation
bin1111101000011001…
…1110001110000001
3101211102111220210011
43322012132032001
532043134010031
61532210504521
7205660263010
oct37206361601
911742456704
104196000641
111863595428
12991295141
1351b408521
142bb3b4a77
1519858e6b1
hexfa19e381

4196000641 has 16 divisors (see below), whose sum is σ = 5055384960. Its totient is φ = 3402172800.

The previous prime is 4196000621. The next prime is 4196000693. The reversal of 4196000641 is 1460006914.

4196000641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4196000641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4196000621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66741 + ... + 113341.

It is an arithmetic number, because the mean of its divisors is an integer number (315961560).

It is a vampire number, since it can be written as 4660190041 (with its own digits).

Almost surely, 24196000641 is an apocalyptic number.

It is an amenable number.

4196000641 is a deficient number, since it is larger than the sum of its proper divisors (859384319).

4196000641 is a wasteful number, since it uses less digits than its factorization.

4196000641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47304.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4196000641 is about 64776.5439105854. The cubic root of 4196000641 is about 1612.9163658974.

The spelling of 4196000641 in words is "four billion, one hundred ninety-six million, six hundred forty-one", and thus it is an aban number.

Divisors: 1 7 19 133 677 4739 12863 46601 90041 326207 885419 6197933 31548877 220842139 599428663 4196000641