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113425314705 = 32526917775273
BaseRepresentation
bin110100110100010101…
…1001111001110010001
3101211202210201222210200
41221220223033032101
53324243340032310
6124035030045413
711123533160463
oct1515053171621
9354683658720
10113425314705
11441156a680a
1219b95aa9869
13a908047241
1456c00a0133
152e3cba09c0
hex1a68acf391

113425314705 has 48 divisors (see below), whose sum is σ = 197483242320. Its totient is φ = 60223279104.

The previous prime is 113425314659. The next prime is 113425314713. The reversal of 113425314705 is 507413524311.

113425314705 is a `hidden beast` number, since 1 + 13 + 42 + 531 + 4 + 70 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12169619856 + 101255694849 = 110316^2 + 318207^2 .

It is not a de Polignac number, because 113425314705 - 27 = 113425314577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113425314705.

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 47 ways as a sum of consecutive naturals, for example, 21507949 + ... + 21513221.

It is an arithmetic number, because the mean of its divisors is an integer number (4114234215).

Almost surely, 2113425314705 is an apocalyptic number.

113425314705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113425314705 is a deficient number, since it is larger than the sum of its proper divisors (84057927615).

113425314705 is a wasteful number, since it uses less digits than its factorization.

113425314705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 113425314705 in words is "one hundred thirteen billion, four hundred twenty-five million, three hundred fourteen thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 269 807 1345 1777 2421 4035 5273 5331 8885 12105 15819 15993 26365 26655 47457 79095 79965 237285 478013 1418437 1434039 2390065 4255311 4302117 7092185 7170195 9370121 12765933 21276555 21510585 28110363 46850605 63829665 84331089 140551815 421655445 2520562549 7561687647 12602812745 22685062941 37808438235 113425314705