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10305270504 = 2332613233489
BaseRepresentation
bin10011001100011110…
…11111001011101000
3222121012011222112100
421212033133023220
5132101122124004
64422325413400
7513242232264
oct114617371350
928535158470
1010305270504
114409069291
121bb726a260
13c830121c9
146da9090a4
15404aad739
hex2663df2e8

10305270504 has 48 divisors (see below), whose sum is σ = 27955757700. Its totient is φ = 3429471744.

The previous prime is 10305270487. The next prime is 10305270509. The reversal of 10305270504 is 40507250301.

It is a happy number.

10305270504 is a `hidden beast` number, since 10 + 30 + 52 + 70 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6823090404 + 3482180100 = 82602^2 + 59010^2 .

It is a super-2 number, since 2×103052705042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10305270509) by changing a digit.

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, 72609 + ... + 160880.

Almost surely, 210305270504 is an apocalyptic number.

It is an amenable number.

10305270504 is an abundant number, since it is smaller than the sum of its proper divisors (17650487196).

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

10305270504 is a wasteful number, since it uses less digits than its factorization.

10305270504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234114 (or 234107 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 10305270504 in words is "ten billion, three hundred five million, two hundred seventy thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 613 1226 1839 2452 3678 4904 5517 7356 11034 14712 22068 44136 233489 466978 700467 933956 1400934 1867912 2101401 2801868 4202802 5603736 8405604 16811208 143128757 286257514 429386271 572515028 858772542 1145030056 1288158813 1717545084 2576317626 3435090168 5152635252 10305270504