Search a number
-
+
772144711044 = 2237317117124763
BaseRepresentation
bin10110011110001110110…
…10010100010110000100
32201211001002111110001220
423033013122110112010
5100122323021223134
61350415100520340
7106533315516030
oct13170732242604
92654032443056
10772144711044
11278512617933
121057918500b0
1357a75028385
142952cac51c0
1515142b13149
hexb3c7694584

772144711044 has 96 divisors (see below), whose sum is σ = 2067395398656. Its totient is φ = 219720159360.

The previous prime is 772144711027. The next prime is 772144711067. The reversal of 772144711044 is 440117441277.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 772144710987 and 772144711005.

It is an unprimeable number.

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, 31169007 + ... + 31193769.

It is an arithmetic number, because the mean of its divisors is an integer number (21535368736).

Almost surely, 2772144711044 is an apocalyptic number.

It is an amenable number.

772144711044 is an abundant number, since it is smaller than the sum of its proper divisors (1295250687612).

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

772144711044 is a wasteful number, since it uses less digits than its factorization.

772144711044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26265 (or 26263 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The spelling of 772144711044 in words is "seven hundred seventy-two billion, one hundred forty-four million, seven hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 317 634 951 1171 1268 1902 2219 2342 3513 3804 4438 4684 6657 7026 8197 8876 13314 14052 16394 24591 24763 26628 32788 49182 49526 74289 98364 99052 148578 173341 297156 346682 371207 520023 693364 742414 1040046 1113621 1484828 2080092 2227242 2598449 4454484 5196898 7795347 7849871 10393796 15590694 15699742 23549613 28997473 31181388 31399484 47099226 54949097 57994946 86992419 94198452 109898194 115989892 164847291 173984838 202982311 219796388 329694582 347969676 405964622 608946933 659389164 811929244 1217893866 2435787732 9192198941 18384397882 27576596823 36768795764 55153193646 64345392587 110306387292 128690785174 193036177761 257381570348 386072355522 772144711044