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21657683380 = 22541127207967
BaseRepresentation
bin10100001010111001…
…100000010110110100
32001220100202022100111
4110022321200112310
5323323331332010
613541023152404
71364461162024
oct241271402664
961810668314
1021657683380
11920421a093
124245145704
132071c59088
141096513a84
1586b56158a
hex50ae605b4

21657683380 has 48 divisors (see below), whose sum is σ = 46957510656. Its totient is φ = 8385189120.

The previous prime is 21657683371. The next prime is 21657683381. The reversal of 21657683380 is 8338675612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21657683381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157 + ... + 208123.

It is an arithmetic number, because the mean of its divisors is an integer number (978281472).

Almost surely, 221657683380 is an apocalyptic number.

21657683380 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 21657683380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23478755328).

21657683380 is an abundant number, since it is smaller than the sum of its proper divisors (25299827276).

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

21657683380 is a wasteful number, since it uses less digits than its factorization.

21657683380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208144 (or 208142 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 21657683380 in words is "twenty-one billion, six hundred fifty-seven million, six hundred eighty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 127 164 205 254 410 508 635 820 1270 2540 5207 10414 20828 26035 52070 104140 207967 415934 831868 1039835 2079670 4159340 8526647 17053294 26411809 34106588 42633235 52823618 85266470 105647236 132059045 170532940 264118090 528236180 1082884169 2165768338 4331536676 5414420845 10828841690 21657683380