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21690017400 = 2335243578297
BaseRepresentation
bin10100001100110100…
…110110011001111000
32001222121121001021210
4110030310312121320
5323410121024100
613544140203120
71365333051222
oct241464663170
961877531253
1021690017400
1192204a4117
124253b394a0
13207886a52c
14109a92d412
1586e2ebc50
hex50cd36678

21690017400 has 96 divisors (see below), whose sum is σ = 67262592240. Its totient is φ = 5781980160.

The previous prime is 21690017399. The next prime is 21690017407. The reversal of 21690017400 is 471009612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21690017407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2610052 + ... + 2618348.

Almost surely, 221690017400 is an apocalyptic number.

21690017400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21690017400 is an abundant number, since it is smaller than the sum of its proper divisors (45572574840).

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

21690017400 is a wasteful number, since it uses less digits than its factorization.

21690017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 21690017400 in words is "twenty-one billion, six hundred ninety million, seventeen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4357 8297 8714 13071 16594 17428 21785 24891 26142 33188 34856 41485 43570 49782 52284 65355 66376 82970 87140 99564 104568 108925 124455 130710 165940 174280 199128 207425 217850 248910 261420 326775 331880 414850 435700 497820 522840 622275 653550 829700 871400 995640 1244550 1307100 1659400 2489100 2614200 4978200 36150029 72300058 108450087 144600116 180750145 216900174 289200232 361500290 433800348 542250435 723000580 867600696 903750725 1084500870 1446001160 1807501450 2169001740 2711252175 3615002900 4338003480 5422504350 7230005800 10845008700 21690017400