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4198629690 = 2325192455339
BaseRepresentation
bin1111101001000010…
…0000000100111010
3101211121110111011100
43322100200010322
532044322122230
61532343112230
7206021522613
oct37220400472
911747414140
104198629690
1118650206a2
12992142676
1351bb19088
142bb89ac0a
1519890d660
hexfa42013a

4198629690 has 48 divisors (see below), whose sum is σ = 11490991200. Its totient is φ = 1060706016.

The previous prime is 4198629679. The next prime is 4198629697. The reversal of 4198629690 is 969268914.

4198629690 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 629 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×41986296902 = 35256982547498992200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4198629697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225960 + ... + 1229379.

It is an arithmetic number, because the mean of its divisors is an integer number (239395650).

Almost surely, 24198629690 is an apocalyptic number.

4198629690 is an abundant number, since it is smaller than the sum of its proper divisors (7292361510).

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

4198629690 is a wasteful number, since it uses less digits than its factorization.

4198629690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455371 (or 2455368 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 4198629690 is about 64796.8339504331. The cubic root of 4198629690 is about 1613.2531588898.

The spelling of 4198629690 in words is "four billion, one hundred ninety-eight million, six hundred twenty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2455339 4910678 7366017 12276695 14732034 22098051 24553390 36830085 44196102 46651441 73660170 93302882 110490255 139954323 220980510 233257205 279908646 419862969 466514410 699771615 839725938 1399543230 2099314845 4198629690