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8416100061 = 32935122229
BaseRepresentation
bin1111101011010001…
…10111111011011101
3210201112101011212200
413311220313323131
5114214010200221
63511042122113
7415362445605
oct76550677335
923645334780
108416100061
11362973a5a6
12176a650339
13a41800985
1459ba5dc05
15343cde426
hex1f5a37edd

8416100061 has 6 divisors (see below), whose sum is σ = 12156588990. Its totient is φ = 5610733368.

The previous prime is 8416100059. The next prime is 8416100089. The reversal of 8416100061 is 1600016148.

8416100061 is a `hidden beast` number, since 8 + 41 + 610 + 0 + 0 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7784532900 + 631567161 = 88230^2 + 25131^2 .

It is not a de Polignac number, because 8416100061 - 21 = 8416100059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8416099998 and 8416100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8416102061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 467561106 + ... + 467561123.

It is an arithmetic number, because the mean of its divisors is an integer number (2026098165).

Almost surely, 28416100061 is an apocalyptic number.

It is an amenable number.

8416100061 is a deficient number, since it is larger than the sum of its proper divisors (3740488929).

8416100061 is a wasteful number, since it uses less digits than its factorization.

8416100061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935122235 (or 935122232 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8416100061 is about 91739.3048861828. The cubic root of 8416100061 is about 2034.0906183613.

The spelling of 8416100061 in words is "eight billion, four hundred sixteen million, one hundred thousand, sixty-one".

Divisors: 1 3 9 935122229 2805366687 8416100061