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12434504355 = 3257213433787
BaseRepresentation
bin10111001010010011…
…10111101010100011
31012002120201021021100
423211021313222203
5200431213114410
65413510325443
7620065354200
oct134511675243
935076637240
1012434504355
115300a54189
1224b0359883
1312321973b0
1485d604ca7
154cb99c8c0
hex2e5277aa3

12434504355 has 72 divisors (see below), whose sum is σ = 27000700272. Its totient is φ = 5247075456.

The previous prime is 12434504351. The next prime is 12434504387. The reversal of 12434504355 is 55340543421.

It is not a de Polignac number, because 12434504355 - 22 = 12434504351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12434504351) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 188229 + ... + 245558.

It is an arithmetic number, because the mean of its divisors is an integer number (375009726).

Almost surely, 212434504355 is an apocalyptic number.

12434504355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12434504355 is an abundant number, since it is smaller than the sum of its proper divisors (14566195917).

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

12434504355 is a wasteful number, since it uses less digits than its factorization.

12434504355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433825 (or 433815 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 12434504355 in words is "twelve billion, four hundred thirty-four million, five hundred four thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 4095 5733 9555 28665 433787 1301361 2168935 3036509 3904083 5639231 6506805 9109527 15182545 16917693 19520415 21255563 27328581 28196155 39474617 45547635 50753079 63766689 84588465 106277815 118423851 136642905 191300067 197373085 253765395 276322319 318833445 355271553 592119255 828966957 956500335 1381611595 1776357765 2486900871 4144834785 12434504355