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29624442692 = 221317307109159
BaseRepresentation
bin11011100101110000…
…010001111101000100
32211110120121121121012
4123211300101331010
5441132324131232
621335334341352
72066056415405
oct334560217504
984416547535
1029624442692
1111622253299
1258a91ba858
132a41631140
1416106079ac
15b85b929b2
hex6e5c11f44

29624442692 has 48 divisors (see below), whose sum is σ = 59307937920. Its totient is φ = 12826501632.

The previous prime is 29624442691. The next prime is 29624442707.

29624442692 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 29624442692.

It is not an unprimeable number, because it can be changed into a prime (29624442691) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 216809 + ... + 325967.

It is an arithmetic number, because the mean of its divisors is an integer number (1235582040).

Almost surely, 229624442692 is an apocalyptic number.

It is an amenable number.

29624442692 is an abundant number, since it is smaller than the sum of its proper divisors (29683495228).

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

29624442692 is a wasteful number, since it uses less digits than its factorization.

29624442692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109500 (or 109498 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The spelling of 29624442692 in words is "twenty-nine billion, six hundred twenty-four million, four hundred forty-two thousand, six hundred ninety-two".

Divisors: 1 2 4 13 17 26 34 52 68 221 307 442 614 884 1228 3991 5219 7982 10438 15964 20876 67847 109159 135694 218318 271388 436636 1419067 1855703 2838134 3711406 5676268 7422812 24124139 33511813 48248278 67023626 96496556 134047252 435653569 569700821 871307138 1139401642 1742614276 2278803284 7406110673 14812221346 29624442692