Search a number
-
+
253519009422 = 2373126281131
BaseRepresentation
bin1110110000011011101…
…0010001011010001110
3220020101011202001112120
43230012322101122032
513123201331300142
6312244240113410
724213303011310
oct3540672213216
9806334661476
10253519009422
11985759650a8
1241173005866
131aba3152aa3
14c3add1b7b0
1568dbc2d7ec
hex3b06e9168e

253519009422 has 48 divisors (see below), whose sum is σ = 598767751296. Its totient is φ = 70097410800.

The previous prime is 253519009409. The next prime is 253519009483. The reversal of 253519009422 is 224900915352.

253519009422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2535190094223 (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100204 + ... + 3180927.

It is an arithmetic number, because the mean of its divisors is an integer number (12474328152).

Almost surely, 2253519009422 is an apocalyptic number.

253519009422 is an abundant number, since it is smaller than the sum of its proper divisors (345248741874).

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

253519009422 is a wasteful number, since it uses less digits than its factorization.

253519009422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281205 (or 6281174 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 253519009422 in words is "two hundred fifty-three billion, five hundred nineteen million, nine thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 961 1302 1922 2883 5766 6727 13454 20181 40362 6281131 12562262 18843393 37686786 43967917 87935834 131903751 194715061 263807502 389430122 584145183 1168290366 1363005427 2726010854 4089016281 6036166891 8178032562 12072333782 18108500673 36217001346 42253168237 84506336474 126759504711 253519009422