Search a number
-
+
21653955400 = 23527111406101
BaseRepresentation
bin10100001010101011…
…010010001101001000
32001220002201220112011
4110022223102031020
5323321403033100
613540411225304
71364414404210
oct241253221510
961802656464
1021653955400
119202103210
124243a48234
13207125227c
141095c23240
1586b076bba
hex50aad2348

21653955400 has 96 divisors (see below), whose sum is σ = 62768393280. Its totient is φ = 6749280000.

The previous prime is 21653955361. The next prime is 21653955403. The reversal of 21653955400 is 455935612.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (21653955403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687651 + ... + 718450.

It is an arithmetic number, because the mean of its divisors is an integer number (653837430).

Almost surely, 221653955400 is an apocalyptic number.

21653955400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21653955400 is an abundant number, since it is smaller than the sum of its proper divisors (41114437880).

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

21653955400 is a wasteful number, since it uses less digits than its factorization.

21653955400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406135 (or 1406126 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 21653955400 in words is "twenty-one billion, six hundred fifty-three million, nine hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 1406101 2812202 5624404 7030505 9842707 11248808 14061010 15467111 19685414 28122020 30934222 35152525 39370828 49213535 56244040 61868444 70305050 77335555 78741656 98427070 108269777 123736888 140610100 154671110 196854140 216539554 246067675 281220200 309342220 386677775 393708280 433079108 492135350 541348885 618684440 773355550 866158216 984270700 1082697770 1546711100 1968541400 2165395540 2706744425 3093422200 4330791080 5413488850 10826977700 21653955400