Search a number
-
+
634043909340436 = 227227466392138879
BaseRepresentation
bin1001000000101010001101100…
…1111111001111110100010100
310002010222000011012110020112111
42100022203121333033310110
51131101133411242343221
610124255430103200404
7250360106100126340
oct22012433177176424
93063860135406474
10634043909340436
1117403156a371a71
125b141b5a446104
13212a31129c533a
14b27dc633da620
154d47e0cc51be1
hex240a8d9fcfd14

634043909340436 has 48 divisors (see below), whose sum is σ = 1273702013337600. Its totient is φ = 270530114748768.

The previous prime is 634043909340367. The next prime is 634043909340487.

634043909340436 is nontrivially palindromic in base 10.

634043909340436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 295368045 + ... + 297506923.

It is an arithmetic number, because the mean of its divisors is an integer number (26535458611200).

Almost surely, 2634043909340436 is an apocalyptic number.

It is an amenable number.

634043909340436 is an abundant number, since it is smaller than the sum of its proper divisors (639658103997164).

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

634043909340436 is a wasteful number, since it uses less digits than its factorization.

634043909340436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185756 (or 2185754 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 58.

The spelling of 634043909340436 in words is "six hundred thirty-four trillion, forty-three billion, nine hundred nine million, three hundred forty thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 227 454 908 1589 3178 6356 46639 93278 186556 326473 652946 1305892 2138879 4277758 8555516 10587053 14972153 21174106 29944306 42348212 59888612 74109371 148218742 296437484 485525533 971051066 1942102132 3398678731 6797357462 13594714924 99755177681 199510355362 399020710724 698286243767 1396572487534 2793144975068 22644425333587 45288850667174 90577701334348 158510977335109 317021954670218 634043909340436