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12434252005 = 572377997179
BaseRepresentation
bin10111001010010001…
…11010000011100101
31012002120020110010001
423211020322003211
5200431132031010
65413501101301
7620063253400
oct134510720345
935076213101
1012434252005
1153008a162a
1224b0257831
131232109586
1485d57ad37
154cb94cc3a
hex2e523a0e5

12434252005 has 96 divisors (see below), whose sum is σ = 18339955200. Its totient is φ = 8061161472.

The previous prime is 12434252003. The next prime is 12434252009. The reversal of 12434252005 is 50025243421.

It is not a de Polignac number, because 12434252005 - 21 = 12434252003 is a prime.

It is a super-2 number, since 2×124342520052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434252003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69465006 + ... + 69465184.

It is an arithmetic number, because the mean of its divisors is an integer number (191041200).

Almost surely, 212434252005 is an apocalyptic number.

It is an amenable number.

12434252005 is a deficient number, since it is larger than the sum of its proper divisors (5905703195).

12434252005 is a wasteful number, since it uses less digits than its factorization.

12434252005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 12434252005 its reverse (50025243421), we get a palindrome (62459495426).

The spelling of 12434252005 in words is "twelve billion, four hundred thirty-four million, two hundred fifty-two thousand, five".

Divisors: 1 5 7 35 37 49 79 97 179 185 245 259 395 485 553 679 895 1253 1295 1813 2765 2923 3395 3589 3871 4753 6265 6623 7663 8771 9065 14141 14615 17363 17945 19355 20461 23765 25123 33115 38315 43855 46361 53641 70705 86815 98987 102305 121541 125615 143227 175861 231805 268205 283531 324527 375487 494935 523217 607705 642431 692909 716135 850787 879305 1371677 1417655 1622635 1877435 1984717 2616085 3212155 3464545 3662519 4253935 4497017 6858385 9601739 9923585 13893019 18312595 22485085 25637633 31479119 48008695 50752049 67212173 69465095 128188165 157395595 253760245 336060865 355264343 1776321715 2486850401 12434252005