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13430427948 = 2232759903311
BaseRepresentation
bin11001000001000010…
…00001000100101100
31021122222201102121100
430200201001010230
5210001142143243
610100404403100
7653550516420
oct144041010454
937588642540
1013430427948
115772143333
1227299a6490
131360607cb2
149159b0b80
155391260d3
hex32084112c

13430427948 has 72 divisors (see below), whose sum is σ = 39456668160. Its totient is φ = 3772222560.

The previous prime is 13430427937. The next prime is 13430427971. The reversal of 13430427948 is 84972403431.

13430427948 is a `hidden beast` number, since 1 + 34 + 304 + 279 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436788 + ... + 466523.

It is an arithmetic number, because the mean of its divisors is an integer number (548009280).

Almost surely, 213430427948 is an apocalyptic number.

13430427948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13430427948 is an abundant number, since it is smaller than the sum of its proper divisors (26026240212).

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

13430427948 is a wasteful number, since it uses less digits than its factorization.

13430427948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903387 (or 903382 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13430427948 in words is "thirteen billion, four hundred thirty million, four hundred twenty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 903311 1806622 2709933 3613244 5419866 6323177 8129799 10839732 12646354 16259598 18969531 25292708 32519196 37939062 53295349 56908593 75878124 106590698 113817186 159886047 213181396 227634372 319772094 373067443 479658141 639544188 746134886 959316282 1119202329 1492269772 1918632564 2238404658 3357606987 4476809316 6715213974 13430427948