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21091107321984 = 273731125229563
BaseRepresentation
bin1001100101110101001111…
…11101011011100010000000
32202200021211112101102110110
410302322213331123202000
510231024041433300414
6112505042042431320
74304532205154310
oct462724775334200
982607745342413
1021091107321984
1167a176326a457
122447721202540
13b9cb6291714b
1452cb5a689440
15268964ca9459
hex132ea7f5b880

21091107321984 has 128 divisors (see below), whose sum is σ = 64232451578880. Its totient is φ = 6006654120960.

The previous prime is 21091107321967. The next prime is 21091107321997. The reversal of 21091107321984 is 48912370119012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11778814 + ... + 13450749.

It is an arithmetic number, because the mean of its divisors is an integer number (501816027960).

Almost surely, 221091107321984 is an apocalyptic number.

21091107321984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21091107321984 is an abundant number, since it is smaller than the sum of its proper divisors (43141344256896).

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

21091107321984 is a wasteful number, since it uses less digits than its factorization.

21091107321984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25229898 (or 25229886 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 21091107321984 in words is "twenty-one trillion, ninety-one billion, one hundred seven million, three hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 311 336 384 448 622 672 896 933 1244 1344 1866 2177 2488 2688 3732 4354 4976 6531 7464 8708 9952 13062 14928 17416 19904 26124 29856 34832 39808 52248 59712 69664 104496 119424 139328 208992 278656 417984 835968 25229563 50459126 75688689 100918252 151377378 176606941 201836504 302754756 353213882 403673008 529820823 605509512 706427764 807346016 1059641646 1211019024 1412855528 1614692032 2119283292 2422038048 2825711056 3229384064 4238566584 4844076096 5651422112 7846394093 8477133168 9688152192 11302844224 15692788186 16954266336 22605688448 23539182279 31385576372 33908532672 47078364558 54924758651 62771152744 67817065344 94156729116 109849517302 125542305488 164774275953 188313458232 219699034604 251084610976 329548551906 376626916464 439398069208 502169221952 659097103812 753253832928 878796138416 1004338443904 1318194207624 1506507665856 1757592276832 2636388415248 3013015331712 3515184553664 5272776830496 7030369107328 10545553660992 21091107321984