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29940390648 = 2332759405537
BaseRepresentation
bin11011111000100101…
…100001101011111000
32212021121010102201100
4123320211201223320
5442304220000043
621430542251400
72106644056440
oct337045415370
985247112640
1029940390648
111177462a703
125976b86b60
132a91c23bac
14164056d120
15ba37a1cd3
hex6f8961af8

29940390648 has 48 divisors (see below), whose sum is σ = 92672639280. Its totient is φ = 8554397184.

The previous prime is 29940390629. The next prime is 29940390661. The reversal of 29940390648 is 84609304992.

29940390648 is a `hidden beast` number, since 2 + 99 + 403 + 90 + 64 + 8 = 666.

It is a super-3 number, since 3×299403906483 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29940390594 and 29940390603.

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 11 ways as a sum of consecutive naturals, for example, 29702265 + ... + 29703272.

It is an arithmetic number, because the mean of its divisors is an integer number (1930679985).

Almost surely, 229940390648 is an apocalyptic number.

29940390648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29940390648 is an abundant number, since it is smaller than the sum of its proper divisors (62732248632).

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

29940390648 is a wasteful number, since it uses less digits than its factorization.

29940390648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59405556 (or 59405549 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 29940390648 in words is "twenty-nine billion, nine hundred forty million, three hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 59405537 118811074 178216611 237622148 356433222 415838759 475244296 534649833 712866444 831677518 1069299666 1247516277 1425732888 1663355036 2138599332 2495032554 3326710072 3742548831 4277198664 4990065108 7485097662 9980130216 14970195324 29940390648