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13429070010 = 2325312147809
BaseRepresentation
bin11001000000110111…
…10101100010111010
31021122220011102212100
430200123311202322
5210000320220020
610100315324230
7653533132416
oct144033654272
937586142770
1013429070010
1157713a6074
122729450676
131360250b95
14915739d46
15538e58a90
hex3206f58ba

13429070010 has 48 divisors (see below), whose sum is σ = 34927499880. Its totient is φ = 3579863040.

The previous prime is 13429069967. The next prime is 13429070023. The reversal of 13429070010 is 1007092431.

13429070010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2586637881 + 10842432129 = 50859^2 + 104127^2 .

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, 256986 + ... + 304794.

Almost surely, 213429070010 is an apocalyptic number.

13429070010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13429070010 is an abundant number, since it is smaller than the sum of its proper divisors (21498429870).

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

13429070010 is a wasteful number, since it uses less digits than its factorization.

13429070010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50943 (or 50940 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13429070010 in words is "thirteen billion, four hundred twenty-nine million, seventy thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3121 6242 9363 15605 18726 28089 31210 46815 47809 56178 93630 95618 140445 143427 239045 280890 286854 430281 478090 717135 860562 1434270 2151405 4302810 149211889 298423778 447635667 746059445 895271334 1342907001 1492118890 2238178335 2685814002 4476356670 6714535005 13429070010