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21729020320 = 255759328829
BaseRepresentation
bin10100001111001001…
…101000100110100000
32002002022222121020101
4110033021220212200
5324000112122240
613552052152144
71366315424320
oct241711504640
962068877211
1021729020320
119240513637
124265008654
132083975297
1410a1ba3280
1587295339a
hex50f2689a0

21729020320 has 96 divisors (see below), whose sum is σ = 59662915200. Its totient is φ = 7323657216.

The previous prime is 21729020273. The next prime is 21729020323. The reversal of 21729020320 is 2302092712.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21729020323) 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, 98335 + ... + 230494.

It is an arithmetic number, because the mean of its divisors is an integer number (621488700).

Almost surely, 221729020320 is an apocalyptic number.

21729020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21729020320 is an abundant number, since it is smaller than the sum of its proper divisors (37933894880).

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

21729020320 is a wasteful number, since it uses less digits than its factorization.

21729020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328910 (or 328902 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 21729020320 in words is "twenty-one billion, seven hundred twenty-nine million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 826 944 1120 1180 1652 1888 2065 2360 3304 4130 4720 6608 8260 9440 13216 16520 33040 66080 328829 657658 1315316 1644145 2301803 2630632 3288290 4603606 5261264 6576580 9207212 10522528 11509015 13153160 18414424 19400911 23018030 26306320 36828848 38801822 46036060 52612640 73657696 77603644 92072120 97004555 135806377 155207288 184144240 194009110 271612754 310414576 368288480 388018220 543225508 620829152 679031885 776036440 1086451016 1358063770 1552072880 2172902032 2716127540 3104145760 4345804064 5432255080 10864510160 21729020320