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21968080080 = 2435101390359
BaseRepresentation
bin10100011101011001…
…100100110011010000
32002200222211002120120
4110131121210303100
5324442312030310
614031512110240
71405250412462
oct243531446320
962628732516
1021968080080
119353454791
124311095380
1320c135716b
1410c5832132
15888925b70
hex51d664cd0

21968080080 has 80 divisors (see below), whose sum is σ = 68169029760. Its totient is φ = 5852306944.

The previous prime is 21968080063. The next prime is 21968080111. The reversal of 21968080080 is 8008086912.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197941 + ... + 288299.

It is an arithmetic number, because the mean of its divisors is an integer number (852112872).

Almost surely, 221968080080 is an apocalyptic number.

21968080080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21968080080 is an abundant number, since it is smaller than the sum of its proper divisors (46200949680).

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

21968080080 is a wasteful number, since it uses less digits than its factorization.

21968080080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91388 (or 91382 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 21968080080 in words is "twenty-one billion, nine hundred sixty-eight million, eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1013 2026 3039 4052 5065 6078 8104 10130 12156 15195 16208 20260 24312 30390 40520 48624 60780 81040 90359 121560 180718 243120 271077 361436 451795 542154 722872 903590 1084308 1355385 1445744 1807180 2168616 2710770 3614360 4337232 5421540 7228720 10843080 21686160 91533667 183067334 274601001 366134668 457668335 549202002 732269336 915336670 1098404004 1373005005 1464538672 1830673340 2196808008 2746010010 3661346680 4393616016 5492020020 7322693360 10984040040 21968080080