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21467381991264 = 25321120789325957
BaseRepresentation
bin1001110000110010000111…
…01011011000011101100000
32211000021001202120010011200
410320121003223120131200
510303210144242210024
6113353551254441200
74343652511114026
oct470310353303540
984007052503150
1021467381991264
1169272a1531710
1224a8632963200
13bc9499b28351
145430538b0716
1527363886a2c9
hex138643ad8760

21467381991264 has 144 divisors (see below), whose sum is σ = 66601081506960. Its totient is φ = 6504934394880.

The previous prime is 21467381991119. The next prime is 21467381991271. The reversal of 21467381991264 is 46219918376412.

21467381991264 is a `hidden beast` number, since 2 + 1 + 46 + 7 + 381 + 99 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65696574 + ... + 66022530.

It is an arithmetic number, because the mean of its divisors is an integer number (462507510465).

Almost surely, 221467381991264 is an apocalyptic number.

21467381991264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21467381991264 is an abundant number, since it is smaller than the sum of its proper divisors (45133699515696).

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

21467381991264 is a wasteful number, since it uses less digits than its factorization.

21467381991264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346773 (or 346762 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 21467381991264 in words is "twenty-one trillion, four hundred sixty-seven billion, three hundred eighty-one million, nine hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 20789 41578 62367 83156 124734 166312 187101 228679 249468 325957 332624 374202 457358 498936 651914 665248 686037 748404 914716 977871 997872 1303828 1372074 1496808 1829432 1955742 1995744 2058111 2607656 2744148 2933613 2993616 3585527 3658864 3911484 4116222 5215312 5488296 5867226 5987232 7171054 7317728 7822968 8232444 10430624 10756581 10976592 11734452 14342108 15645936 16464888 21513162 21953184 23468904 28684216 31291872 32269743 32929776 43026324 46937808 57368432 64539486 65859552 86052648 93875616 114736864 129078972 172105296 258157944 344210592 516315888 1032631776 6776320073 13552640146 20328960219 27105280292 40657920438 54210560584 60986880657 74539520803 81315840876 108421121168 121973761314 149079041606 162631681752 216842242336 223618562409 243947522628 298158083212 325263363504 447237124818 487895045256 596316166424 650526727008 670855687227 894474249636 975790090512 1192632332848 1341711374454 1788948499272 1951580181024 2385264665696 2683422748908 3577896998544 5366845497816 7155793997088 10733690995632 21467381991264