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21703688740 = 2252950973517
BaseRepresentation
bin10100001101101001…
…000000001000100100
32002000120022121211201
4110031221000020210
5323422121014430
613545345212244
71365560211316
oct241551001044
962016277751
1021703688740
119228191648
124258631084
13207b646196
14109c68b7b6
158705ec8ca
hex50da40224

21703688740 has 48 divisors (see below), whose sum is σ = 47242666800. Its totient is φ = 8365532672.

The previous prime is 21703688731. The next prime is 21703688777. The reversal of 21703688740 is 4788630712.

It can be written as a sum of positive squares in 8 ways, for example, as 2947838436 + 18755850304 = 54294^2 + 136952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258462 + ... + 331978.

It is an arithmetic number, because the mean of its divisors is an integer number (984222225).

Almost surely, 221703688740 is an apocalyptic number.

21703688740 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 21703688740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23621333400).

21703688740 is an abundant number, since it is smaller than the sum of its proper divisors (25538978060).

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

21703688740 is a wasteful number, since it uses less digits than its factorization.

21703688740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74064 (or 74062 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 21703688740 in words is "twenty-one billion, seven hundred three million, six hundred eighty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 509 580 1018 2036 2545 5090 10180 14761 29522 59044 73517 73805 147034 147610 294068 295220 367585 735170 1470340 2131993 4263986 8527972 10659965 21319930 37420153 42639860 74840306 149680612 187100765 374201530 748403060 1085184437 2170368874 4340737748 5425922185 10851844370 21703688740