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463222137026464 = 25613372857246473
BaseRepresentation
bin110100101010011000100111…
…0111011011111011110100000
32020202010121022011221001111121
41221110301032323133132200
5441203412414034321324
64321105151220222024
7166366460244615004
oct15124611673373640
92222117264831447
10463222137026464
111246624501a2272
1243b5367853a914
1316b618772a601a
1482560dcda8704
15388470e0435e4
hex1a54c4eedf7a0

463222137026464 has 96 divisors (see below), whose sum is σ = 929998561813776. Its totient is φ = 227057735761920.

The previous prime is 463222137026459. The next prime is 463222137026513. The reversal of 463222137026464 is 464620731222364.

It can be written as a sum of positive squares in 8 ways, for example, as 29057404002064 + 434164733024400 = 5390492^2 + 20836620^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879279932 + ... + 1879526404.

Almost surely, 2463222137026464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463222137026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464999280906888).

463222137026464 is an abundant number, since it is smaller than the sum of its proper divisors (466776424787312).

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

463222137026464 is a wasteful number, since it uses less digits than its factorization.

463222137026464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249738 (or 249730 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 52.

The spelling of 463222137026464 in words is "four hundred sixty-three trillion, two hundred twenty-two billion, one hundred thirty-seven million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 122 244 337 488 674 976 1348 1952 2696 2857 5392 5714 10784 11428 20557 22856 41114 45712 82228 91424 164456 174277 246473 328912 348554 492946 657824 697108 962809 985892 1394216 1925618 1971784 2788432 3851236 3943568 5576864 7702472 7887136 15034853 15404944 30069706 30809888 58731349 60139412 83061401 117462698 120278824 166122802 234925396 240557648 332245604 469850792 481115296 664491208 704173361 939701584 1328982416 1408346722 1879403168 2657964832 2816693444 5066745461 5633386888 10133490922 11266773776 20266981844 22533547552 40533963688 42954575021 81067927376 85909150042 162135854752 171818300084 237306422657 343636600168 474612845314 687273200336 949225690628 1374546400672 1898451381256 3796902762512 7593805525024 14475691782077 28951383564154 57902767128308 115805534256616 231611068513232 463222137026464