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3393980831925 = 345210915376513
BaseRepresentation
bin110001011000111001000…
…001011001100010110101
3110000110110100201020010000
4301120321001121202311
5421101333043110200
611115101232021513
7500131003034115
oct61307101314265
913013410636100
103393980831925
111099419776002
12469939391899
131b8088120918
14ba3ab8db045
155d4429ba300
hex316390598b5

3393980831925 has 60 divisors (see below), whose sum is σ = 6344503441540. Its totient is φ = 1793516359680.

The previous prime is 3393980831903. The next prime is 3393980831951. The reversal of 3393980831925 is 5291380893933.

3393980831925 is a `hidden beast` number, since 3 + 393 + 9 + 80 + 83 + 1 + 92 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6639968196 + 3387340863729 = 81486^2 + 1840473^2 .

It is not a de Polignac number, because 3393980831925 - 26 = 3393980831861 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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 59 ways as a sum of consecutive naturals, for example, 7467532 + ... + 7908981.

Almost surely, 23393980831925 is an apocalyptic number.

It is an amenable number.

3393980831925 is a deficient number, since it is larger than the sum of its proper divisors (2950522609615).

3393980831925 is a wasteful number, since it uses less digits than its factorization.

3393980831925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376644 (or 15376630 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 3393980831925 in words is "three trillion, three hundred ninety-three billion, nine hundred eighty million, eight hundred thirty-one thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 109 135 225 327 405 545 675 981 1635 2025 2725 2943 4905 8175 8829 14715 24525 44145 73575 220725 15376513 46129539 76882565 138388617 230647695 384412825 415165851 691943085 1153238475 1245497553 1676039917 2075829255 3459715425 5028119751 6227487765 8380199585 10379146275 15084359253 25140598755 31137438825 41900997925 45253077759 75421796265 125702993775 135759233277 226265388795 377108981325 678796166385 1131326943975 3393980831925