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29810824074 = 23261101268813
BaseRepresentation
bin11011110000110111…
…010001001110001010
32211221120022202210100
4123300313101032022
5442023032332244
621410033230230
72103511552353
oct336067211612
984846282710
1029810824074
1111708484399
12593b702376
132a7112a795
14162b282d2a
15b9720bb69
hex6f0dd138a

29810824074 has 48 divisors (see below), whose sum is σ = 66299209704. Its totient is φ = 9677232000.

The previous prime is 29810824073. The next prime is 29810824093. The reversal of 29810824074 is 47042801892.

It can be written as a sum of positive squares in 4 ways, for example, as 23038686225 + 6772137849 = 151785^2 + 82293^2 .

It is a Smith number, since the sum of its digits (45) 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 (29810824073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23509 + ... + 245304.

Almost surely, 229810824074 is an apocalyptic number.

29810824074 is an abundant number, since it is smaller than the sum of its proper divisors (36488385630).

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

29810824074 is a wasteful number, since it uses less digits than its factorization.

29810824074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268983 (or 268980 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 29810824074 in words is "twenty-nine billion, eight hundred ten million, eight hundred twenty-four thousand, seventy-four".

Divisors: 1 2 3 6 9 18 61 101 122 183 202 303 366 549 606 909 1098 1818 6161 12322 18483 36966 55449 110898 268813 537626 806439 1612878 2419317 4838634 16397593 27150113 32795186 49192779 54300226 81450339 98385558 147578337 162900678 244351017 295156674 488702034 1656156893 3312313786 4968470679 9936941358 14905412037 29810824074