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1930129461 = 3213531492089
BaseRepresentation
bin111001100001011…
…0111000000110101
311222111212201212100
41303002313000311
512423103120321
6515305212313
765554554411
oct16302670065
94874781770
101930129461
11900564917
1245a491099
13249b52750
141444abd41
15b46b0326
hex730b7035

1930129461 has 48 divisors (see below), whose sum is σ = 3081078000. Its totient is φ = 1156985856.

The previous prime is 1930129441. The next prime is 1930129483. The reversal of 1930129461 is 1649210391.

It is a happy number.

1930129461 is a `hidden beast` number, since 1 + 9 + 301 + 294 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13003236 + 1917126225 = 3606^2 + 43785^2 .

It is not a de Polignac number, because 1930129461 - 25 = 1930129429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930129441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922905 + ... + 924993.

It is an arithmetic number, because the mean of its divisors is an integer number (64189125).

Almost surely, 21930129461 is an apocalyptic number.

It is an amenable number.

1930129461 is a deficient number, since it is larger than the sum of its proper divisors (1150948539).

1930129461 is a wasteful number, since it uses less digits than its factorization.

1930129461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1930129461 is about 43933.2386809805. The cubic root of 1930129461 is about 1245.0749052528.

The spelling of 1930129461 in words is "one billion, nine hundred thirty million, one hundred twenty-nine thousand, four hundred sixty-one".

Divisors: 1 3 9 13 39 53 117 149 159 447 477 689 1341 1937 2067 2089 5811 6201 6267 7897 17433 18801 23691 27157 71073 81471 102661 110717 244413 307983 311261 332151 923949 933783 996453 1439321 2801349 4046393 4317963 12139179 12953889 16496833 36417537 49490499 148471497 214458829 643376487 1930129461