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429451435147 = 72192232068519
BaseRepresentation
bin1100011111111010100…
…11001101110010001011
31112001111012122021212011
412033331103031302023
524014004031411042
6525142014400351
743012130653300
oct6177523156213
91461435567764
10429451435147
11156147159549
126b2925000b7
1331660176247
1416add8130a7
15b2872b4a17
hex63fd4cdc8b

429451435147 has 24 divisors (see below), whose sum is σ = 528217267200. Its totient is φ = 347163512976.

The previous prime is 429451435129. The next prime is 429451435157. The reversal of 429451435147 is 741534154924.

It is a de Polignac number, because none of the positive numbers 2k-429451435147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 429451435147.

It is not an unprimeable number, because it can be changed into a prime (429451435117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826647 + ... + 1241872.

It is an arithmetic number, because the mean of its divisors is an integer number (22009052800).

Almost surely, 2429451435147 is an apocalyptic number.

429451435147 is a deficient number, since it is larger than the sum of its proper divisors (98765832053).

429451435147 is a wasteful number, since it uses less digits than its factorization.

429451435147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068775 (or 2068768 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

The spelling of 429451435147 in words is "four hundred twenty-nine billion, four hundred fifty-one million, four hundred thirty-five thousand, one hundred forty-seven".

Divisors: 1 7 19 49 133 223 931 1561 4237 10927 29659 207613 2068519 14479633 39301861 101357431 275113027 461279737 1925791189 3228958159 8764315003 22602707113 61350205021 429451435147