Search a number
-
+
21298972636560 = 2435384592307541
BaseRepresentation
bin1001101011111000011011…
…01100101011010110010000
32210102011101000122111012010
410311330031230223112100
510242430243443332220
6113144340221502520
74325541253164513
oct465741554532620
983364330574163
1021298972636560
116871930876933
12247ba72a11a40
13bb663b5b00c8
14538c391b4d7a
1526e07d9c21e0
hex135f0db2b590

21298972636560 has 80 divisors (see below), whose sum is σ = 66028560598080. Its totient is φ = 5679575892480.

The previous prime is 21298972636549. The next prime is 21298972636573. The reversal of 21298972636560 is 6563627989212.

It is a Cunningham number, because it is equal to 46150812-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21298972636491 and 21298972636500.

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, 8076390 + ... + 10383930.

It is an arithmetic number, because the mean of its divisors is an integer number (825357007476).

Almost surely, 221298972636560 is an apocalyptic number.

21298972636560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21298972636560 is an abundant number, since it is smaller than the sum of its proper divisors (44729587961520).

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

21298972636560 is a wasteful number, since it uses less digits than its factorization.

21298972636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346016 (or 2346010 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 21298972636560 in words is "twenty-one trillion, two hundred ninety-eight billion, nine hundred seventy-two million, six hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 38459 76918 115377 153836 192295 230754 307672 384590 461508 576885 615344 769180 923016 1153770 1538360 1846032 2307540 2307541 3076720 4615080 4615082 6922623 9230160 9230164 11537705 13845246 18460328 23075410 27690492 34613115 36920656 46150820 55380984 69226230 92301640 110761968 138452460 184603280 276904920 553809840 88745719319 177491438638 266237157957 354982877276 443728596595 532474315914 709965754552 887457193190 1064948631828 1331185789785 1419931509104 1774914386380 2129897263656 2662371579570 3549828772760 4259794527312 5324743159140 7099657545520 10649486318280 21298972636560