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21089704000 = 26533771249
BaseRepresentation
bin10011101001000010…
…110101100001000000
32000102202222222010011
4103221002311201000
5321142431012000
613404413314304
71344423345331
oct235102654100
960382888104
1021089704000
118a42651842
124106a95994
131cb13920c1
141040d04288
1583676b2ba
hex4e90b5840

21089704000 has 112 divisors (see below), whose sum is σ = 53640990000. Its totient is φ = 8207769600.

The previous prime is 21089703953. The next prime is 21089704057. The reversal of 21089704000 is 40798012.

It can be written as a sum of positive squares in 8 ways, for example, as 233722944 + 20855981056 = 15288^2 + 144416^2 .

It is a super-2 number, since 2×210897040002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260376 + ... + 331624.

Almost surely, 221089704000 is an apocalyptic number.

21089704000 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 21089704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26820495000).

21089704000 is an abundant number, since it is smaller than the sum of its proper divisors (32551286000).

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

21089704000 is an equidigital number, since it uses as much as digits as its factorization.

21089704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71313 (or 71293 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 21089704000 in words is "twenty-one billion, eighty-nine million, seven hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 740 800 925 1000 1184 1480 1600 1850 2000 2368 2960 3700 4000 4625 5920 7400 8000 9250 11840 14800 18500 29600 37000 59200 71249 74000 142498 148000 284996 296000 356245 569992 712490 1139984 1424980 1781225 2279968 2636213 2849960 3562450 4559936 5272426 5699920 7124900 8906125 10544852 11399840 13181065 14249800 17812250 21089704 22799680 26362130 28499600 35624500 42179408 52724260 56999200 65905325 71249000 84358816 105448520 113998400 131810650 142498000 168717632 210897040 263621300 284996000 329526625 421794080 527242600 569992000 659053250 843588160 1054485200 1318106500 2108970400 2636213000 4217940800 5272426000 10544852000 21089704000