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428577135342 = 231731413305851
BaseRepresentation
bin1100011110010010011…
…00000001101011101110
31111222020021111020222220
412033021030001223232
524010211221312332
6524515143220210
742651353354256
oct6171114015356
91458207436886
10428577135342
11155838690124
126b089747666
1331550caa695
1416a59666966
15b235662d2c
hex63c9301aee

428577135342 has 64 divisors (see below), whose sum is σ = 959702059008. Its totient is φ = 126944640000.

The previous prime is 428577135341. The next prime is 428577135379. The reversal of 428577135342 is 243531775824.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428577135341) 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, 1523284 + ... + 1782567.

It is an arithmetic number, because the mean of its divisors is an integer number (14995344672).

Almost surely, 2428577135342 is an apocalyptic number.

428577135342 is an abundant number, since it is smaller than the sum of its proper divisors (531124923666).

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

428577135342 is a wasteful number, since it uses less digits than its factorization.

428577135342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305945.

The product of its digits is 5644800, while the sum is 51.

The spelling of 428577135342 in words is "four hundred twenty-eight billion, five hundred seventy-seven million, one hundred thirty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 31 34 41 51 62 82 93 102 123 186 246 527 697 1054 1271 1394 1581 2091 2542 3162 3813 4182 7626 21607 43214 64821 129642 3305851 6611702 9917553 19835106 56199467 102481381 112398934 135539891 168598401 204962762 271079782 307444143 337196802 406619673 614888286 813239346 1742183477 2304178147 3484366954 4201736621 4608356294 5226550431 6912534441 8403473242 10453100862 12605209863 13825068882 25210419726 71429522557 142859045114 214288567671 428577135342