Search a number
-
+
9409212946 = 2721971103691
BaseRepresentation
bin10001100001101010…
…10011001000010010
3220021202002112122101
420300311103020102
5123232224303241
64153400031014
7452111663500
oct106065231022
926252075571
109409212946
113a99289a51
1219a716246a
13b6c499133
146538d7670
153a10aee31
hex230d53212

9409212946 has 96 divisors (see below), whose sum is σ = 17721400320. Its totient is φ = 3724509600.

The previous prime is 9409212941. The next prime is 9409212947. The reversal of 9409212946 is 6492129049.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9409212896 and 9409212905.

It is not an unprimeable number, because it can be changed into a prime (9409212941) 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 47 ways as a sum of consecutive naturals, for example, 13616461 + ... + 13617151.

It is an arithmetic number, because the mean of its divisors is an integer number (184597920).

Almost surely, 29409212946 is an apocalyptic number.

9409212946 is a deficient number, since it is larger than the sum of its proper divisors (8312187374).

9409212946 is a wasteful number, since it uses less digits than its factorization.

9409212946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 9409212946 is about 97001.0976535833. The cubic root of 9409212946 is about 2111.1435552246.

The spelling of 9409212946 in words is "nine billion, four hundred nine million, two hundred twelve thousand, nine hundred forty-six".

Divisors: 1 2 7 14 19 38 49 71 98 103 133 142 206 266 497 691 721 931 994 1349 1382 1442 1862 1957 2698 3479 3914 4837 5047 6958 7313 9443 9674 10094 13129 13699 14626 18886 26258 27398 33859 49061 51191 66101 67718 71173 91903 95893 98122 102382 132202 138947 142346 183806 191786 277894 343427 358337 498211 643321 686854 716674 932159 972629 996422 1286642 1352287 1864318 1945258 2403989 2704574 3487477 4807978 5053283 6525113 6808403 6974954 9466009 10106566 13050226 13616806 18932018 35372981 45675791 66262063 70745962 91351582 96012377 132524126 192024754 247610867 495221734 672086639 1344173278 4704606473 9409212946