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11480629095364 = 221113312149913933
BaseRepresentation
bin1010011100010000101011…
…0100011010101111000100
31111122112111210002110220111
42213010022310122233010
53001044312022022424
640230043405042404
72263306456115242
oct247041264325704
944575453073814
1011480629095364
1137269a8909010
121355033556404
1365380730c080
142b9945c71792
1514d9868da194
hexa710ad1abc4

11480629095364 has 144 divisors (see below), whose sum is σ = 24407518968000. Its totient is φ = 4658214355200.

The previous prime is 11480629095347. The next prime is 11480629095367. The reversal of 11480629095364 is 46359092608411.

It is a junction number, because it is equal to n+sod(n) for n = 11480629095299 and 11480629095308.

It is not an unprimeable number, because it can be changed into a prime (11480629095367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823981342 + ... + 823995274.

It is an arithmetic number, because the mean of its divisors is an integer number (169496659500).

Almost surely, 211480629095364 is an apocalyptic number.

It is an amenable number.

11480629095364 is an abundant number, since it is smaller than the sum of its proper divisors (12926889872636).

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

11480629095364 is a wasteful number, since it uses less digits than its factorization.

11480629095364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15522 (or 15489 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 11480629095364 in words is "eleven trillion, four hundred eighty billion, six hundred twenty-nine million, ninety-five thousand, three hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 31 44 52 62 124 143 286 341 403 572 682 806 961 1364 1499 1612 1922 2998 3844 4433 5996 8866 10571 12493 13933 16489 17732 19487 21142 24986 27866 32978 38974 42284 46469 49972 55732 65956 77948 92938 137423 153263 181129 185876 214357 274846 306526 362258 428714 431923 511159 549692 604097 613052 724516 857428 863846 1022318 1208194 1440539 1727692 1992419 2044636 2416388 2881078 3984838 4751153 5614999 5762156 6645067 7969676 9502306 11229998 13290134 13389613 15845929 18727007 19004612 20885567 22459996 26580268 26779226 31691858 37454014 41771134 53558452 61764989 63383716 74908028 83542268 123529978 147285743 174064969 205997077 229741237 247059956 271512371 294571486 348129938 411994154 459482474 543024742 589142972 647452577 696259876 823988308 918964948 1086049484 1294905154 1914714659 2589810308 2986636081 3829429318 5973272162 7121978347 7658858636 8416883501 11946544324 14243956694 16833767002 20071029887 28487913388 33667534004 40142059774 80284119548 92585718511 185171437022 220781328757 260923388531 370342874044 441562657514 521846777062 883125315028 1043693554124 2870157273841 5740314547682 11480629095364