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21964369320 = 23335127915901
BaseRepresentation
bin10100011101001011…
…011010110110101000
32002200201211120101000
4110131023122312220
5324440334304240
614031300355000
71405204026105
oct243513326650
962621746330
1021964369320
11935134a843
12430b9a5a60
1320c065814a
1410c5147aac
15888441430
hex51d2dada8

21964369320 has 128 divisors (see below), whose sum is σ = 73276416000. Its totient is φ = 5852217600.

The previous prime is 21964369313. The next prime is 21964369381. The reversal of 21964369320 is 2396346912.

21964369320 is a `hidden beast` number, since 2 + 196 + 436 + 9 + 3 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373370 + ... + 1389270.

It is an arithmetic number, because the mean of its divisors is an integer number (572472000).

Almost surely, 221964369320 is an apocalyptic number.

21964369320 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 21964369320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36638208000).

21964369320 is an abundant number, since it is smaller than the sum of its proper divisors (51312046680).

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

21964369320 is a wasteful number, since it uses less digits than its factorization.

21964369320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17200 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 21964369320 in words is "twenty-one billion, nine hundred sixty-four million, three hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1279 2558 3837 5116 6395 7674 10232 11511 12790 15348 15901 19185 23022 25580 30696 31802 34533 38370 46044 47703 51160 57555 63604 69066 76740 79505 92088 95406 115110 127208 138132 143109 153480 159010 172665 190812 230220 238515 276264 286218 318020 345330 381624 429327 460440 477030 572436 636040 690660 715545 858654 954060 1144872 1381320 1431090 1717308 1908120 2146635 2862180 3434616 4293270 5724360 8586540 17173080 20337379 40674758 61012137 81349516 101686895 122024274 162699032 183036411 203373790 244048548 305060685 366072822 406747580 488097096 549109233 610121370 732145644 813495160 915182055 1098218466 1220242740 1464291288 1830364110 2196436932 2440485480 2745546165 3660728220 4392873864 5491092330 7321456440 10982184660 21964369320