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21701920660 = 22572137161641
BaseRepresentation
bin10100001101100010…
…010000011110010100
32002000102222210111021
4110031202100132110
5323421142430120
613545243250524
71365536165500
oct241542203624
962012883437
1021701920660
119227194222
124257b19a44
13207b177494
14109c34b300
1587039daaa
hex50d890794

21701920660 has 72 divisors (see below), whose sum is σ = 53401990824. Its totient is φ = 7386301440.

The previous prime is 21701920657. The next prime is 21701920693. The reversal of 21701920660 is 6602910712.

It can be written as a sum of positive squares in 4 ways, for example, as 1858127236 + 19843793424 = 43106^2 + 140868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53440 + ... + 215080.

It is an arithmetic number, because the mean of its divisors is an integer number (741694317).

Almost surely, 221701920660 is an apocalyptic number.

21701920660 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 21701920660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26700995412).

21701920660 is an abundant number, since it is smaller than the sum of its proper divisors (31700070164).

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

21701920660 is a wasteful number, since it uses less digits than its factorization.

21701920660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161801 (or 161792 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 21701920660 in words is "twenty-one billion, seven hundred one million, nine hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 196 245 274 490 548 685 959 980 1370 1918 2740 3836 4795 6713 9590 13426 19180 26852 33565 67130 134260 161641 323282 646564 808205 1131487 1616410 2262974 3232820 4525948 5657435 7920409 11314870 15840818 22144817 22629740 31681636 39602045 44289634 79204090 88579268 110724085 155013719 158408180 221448170 310027438 442896340 620054876 775068595 1085096033 1550137190 2170192066 3100274380 4340384132 5425480165 10850960330 21701920660