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428168587431 = 313611031747363
BaseRepresentation
bin1100011101100001101…
…01100010100010100111
31111221011210201212121210
412032300311202202213
524003342124244211
6524410430442503
742635262641424
oct6166065424247
91457153655553
10428168587431
11155649007022
126ab94963433
13314b7465460
1416a1b2b8d4b
15b20e8619a6
hex63b0d628a7

428168587431 has 32 divisors (see below), whose sum is σ = 630952172032. Its totient is φ = 256652530560.

The previous prime is 428168587403. The next prime is 428168587459. The reversal of 428168587431 is 134785861824.

It is an interprime number because it is at equal distance from previous prime (428168587403) and next prime (428168587459).

It is not a de Polignac number, because 428168587431 - 219 = 428168063143 is a prime.

It is a super-2 number, since 2×4281685874312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428168587481) 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 31 ways as a sum of consecutive naturals, for example, 628645 + ... + 1118718.

It is an arithmetic number, because the mean of its divisors is an integer number (19717255376).

Almost surely, 2428168587431 is an apocalyptic number.

428168587431 is a deficient number, since it is larger than the sum of its proper divisors (202783584601).

428168587431 is a wasteful number, since it uses less digits than its factorization.

428168587431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747543.

The product of its digits is 10321920, while the sum is 57.

The spelling of 428168587431 in words is "four hundred twenty-eight billion, one hundred sixty-eight million, five hundred eighty-seven thousand, four hundred thirty-one".

Divisors: 1 3 13 39 61 103 183 309 793 1339 2379 4017 6283 18849 81679 245037 1747363 5242089 22715719 68147157 106589143 179978389 319767429 539935167 1385658859 2339719057 4156976577 7019157171 10978681729 32936045187 142722862477 428168587431