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12355050435 = 3571320874337
BaseRepresentation
bin10111000000110101…
…10001101111000011
31011220001012120222120
423200122301233003
5200300343103220
65401551335323
7615112124130
oct134032615703
934801176876
1012355050435
115270116292
122489821543
13121b898740
14852c41587
154c4a05a40
hex2e06b1bc3

12355050435 has 64 divisors (see below), whose sum is σ = 24347215872. Its totient is φ = 5209860096.

The previous prime is 12355050401. The next prime is 12355050443. The reversal of 12355050435 is 53405055321.

It is a happy number.

12355050435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12355050435 - 28 = 12355050179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12355050396 and 12355050405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2846587 + ... + 2850923.

It is an arithmetic number, because the mean of its divisors is an integer number (380425248).

Almost surely, 212355050435 is an apocalyptic number.

12355050435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12355050435 is a deficient number, since it is larger than the sum of its proper divisors (11992165437).

12355050435 is a wasteful number, since it uses less digits than its factorization.

12355050435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452.

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 12355050435 in words is "twelve billion, three hundred fifty-five million, fifty thousand, four hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 2087 4337 6261 10435 13011 14609 21685 27131 30359 31305 43827 56381 65055 73045 81393 91077 135655 151795 169143 189917 219135 281905 394667 406965 455385 569751 845715 949585 1184001 1973335 2848755 5920005 9051319 27153957 45256595 63359233 117667147 135769785 190077699 316796165 353001441 588335735 823670029 950388495 1765007205 2471010087 4118350145 12355050435