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21455121763088 = 24131739171549049
BaseRepresentation
bin1001110000011011010001…
…11010010100101100010000
32210222002102022202222212122
410320031220322110230100
510303010042132404323
6113344202531313412
74343036626645406
oct470155072245420
983862368688778
1021455121763088
11692207a9a0832
1224a6190a4b868
13bc8294aac770
1454260d4b3476
1527316c344ec8
hex138368e94b10

21455121763088 has 80 divisors (see below), whose sum is σ = 47412417754800. Its totient is φ = 9317486542848.

The previous prime is 21455121763073. The next prime is 21455121763093. The reversal of 21455121763088 is 88036712155412.

It can be written as a sum of positive squares in 8 ways, for example, as 3665892281104 + 17789229481984 = 1914652^2 + 4217728^2 .

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 15 ways as a sum of consecutive naturals, for example, 13075988 + ... + 14625036.

It is an arithmetic number, because the mean of its divisors is an integer number (592655221935).

Almost surely, 221455121763088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21455121763088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706208877400).

21455121763088 is an abundant number, since it is smaller than the sum of its proper divisors (25957295991712).

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

21455121763088 is a wasteful number, since it uses less digits than its factorization.

21455121763088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553004 (or 1552998 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 21455121763088 in words is "twenty-one trillion, four hundred fifty-five billion, one hundred twenty-one million, seven hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 3917 7834 15668 31336 50921 62672 66589 101842 133178 203684 266356 407368 532712 814736 865657 1065424 1549049 1731314 3098098 3462628 6196196 6925256 12392392 13850512 20137637 24784784 26333833 40275274 52667666 80550548 105335332 161101096 210670664 322202192 342339829 421341328 684679658 1369359316 2738718632 5477437264 6067624933 12135249866 24270499732 48540999464 78879124129 97081998928 103149623861 157758248258 206299247722 315516496516 412598495444 631032993032 825196990888 1262065986064 1340945110193 1650393981776 2681890220386 5363780440772 10727560881544 21455121763088