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29632931442 = 2325379393187
BaseRepresentation
bin11011100110010000…
…101010011001110010
32211111011120212222100
4123212100222121302
5441142012301232
621340240321230
72066221522062
oct334620523162
984434525870
1029632931442
1111627020a94
1258b0013216
132a43313b7a
1416117b73a2
15b867bcc7c
hex6e642a672

29632931442 has 48 divisors (see below), whose sum is σ = 66244314240. Its totient is φ = 9568574496.

The previous prime is 29632931431. The next prime is 29632931501. The reversal of 29632931442 is 24413923692.

29632931442 is a `hidden beast` number, since 2 + 9 + 6 + 329 + 314 + 4 + 2 = 666.

It is a super-2 number, since 2×296329314422 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121228 + ... + 271959.

It is an arithmetic number, because the mean of its divisors is an integer number (1380089880).

Almost surely, 229632931442 is an apocalyptic number.

29632931442 is an abundant number, since it is smaller than the sum of its proper divisors (36611382798).

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

29632931442 is a wasteful number, since it uses less digits than its factorization.

29632931442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393327 (or 393324 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 29632931442 in words is "twenty-nine billion, six hundred thirty-two million, nine hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 53 79 106 158 159 237 318 474 477 711 954 1422 4187 8374 12561 25122 37683 75366 393187 786374 1179561 2359122 3538683 7077366 20838911 31061773 41677822 62123546 62516733 93185319 125033466 186370638 187550199 279555957 375100398 559111914 1646273969 3292547938 4938821907 9877643814 14816465721 29632931442