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21602650240 = 275148922669
BaseRepresentation
bin10100000111100111…
…100100100010000000
32001202112012100002001
4110013213210202000
5323220234301430
613531335433344
71363222332403
oct240747444200
961675170061
1021602650240
119186150956
12422a825854
13206372aaa2
14108d0a9d3a
158667e03ca
hex5079e4880

21602650240 has 64 divisors (see below), whose sum is σ = 51680799000. Its totient is φ = 8634875904.

The previous prime is 21602650219. The next prime is 21602650243. The reversal of 21602650240 is 4205620612.

It can be written as a sum of positive squares in 4 ways, for example, as 19597760064 + 2004890176 = 139992^2 + 44776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21602650199 and 21602650208.

It is not an unprimeable number, because it can be changed into a prime (21602650243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941626 + ... + 964294.

Almost surely, 221602650240 is an apocalyptic number.

21602650240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21602650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25840399500).

21602650240 is an abundant number, since it is smaller than the sum of its proper divisors (30078148760).

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

21602650240 is a wasteful number, since it uses less digits than its factorization.

21602650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24177 (or 24165 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 21602650240 in words is "twenty-one billion, six hundred two million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1489 2978 5956 7445 11912 14890 22669 23824 29780 45338 47648 59560 90676 95296 113345 119120 181352 190592 226690 238240 362704 453380 476480 725408 906760 952960 1450816 1813520 2901632 3627040 7254080 14508160 33754141 67508282 135016564 168770705 270033128 337541410 540066256 675082820 1080132512 1350165640 2160265024 2700331280 4320530048 5400662560 10801325120 21602650240