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21545534340 = 223251129375227
BaseRepresentation
bin10100000100001101…
…101100001110000100
32001121112201112210100
4110010031230032010
5323111124044330
613521535324100
71361630006631
oct240415541604
961545645710
1021545534340
11915698a930
124213680630
1320549507b5
14108567d188
158617ac060
hex50436c384

21545534340 has 144 divisors (see below), whose sum is σ = 73754815680. Its totient is φ = 5043037440.

The previous prime is 21545534321. The next prime is 21545534359. The reversal of 21545534340 is 4343554512.

21545534340 is a `hidden beast` number, since 21 + 5 + 4 + 553 + 43 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21545534321) and next prime (21545534359).

It is a super-2 number, since 2×215455343402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21545534295 and 21545534304.

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 47 ways as a sum of consecutive naturals, for example, 130194 + ... + 245033.

It is an arithmetic number, because the mean of its divisors is an integer number (512186220).

Almost surely, 221545534340 is an apocalyptic number.

21545534340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21545534340 is an abundant number, since it is smaller than the sum of its proper divisors (52209281340).

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

21545534340 is a wasteful number, since it uses less digits than its factorization.

21545534340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375282 (or 375277 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 21545534340 in words is "twenty-one billion, five hundred forty-five million, five hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 375227 750454 1125681 1500908 1876135 2251362 3377043 3752270 4127497 4502724 5628405 6754086 7504540 8254994 10881583 11256810 12382491 13508172 16509988 16885215 20637485 21763166 22513620 24764982 32644749 33770430 37147473 41274970 43526332 49529964 54407915 61912455 65289498 67540860 74294946 82549940 97934247 108815830 119697413 123824910 130578996 148589892 163223745 185737365 195868494 217631660 239394826 247649820 326447490 359092239 371474730 391736988 478789652 489671235 598487065 652894980 718184478 742949460 979342470 1077276717 1196974130 1436368956 1795461195 1958684940 2154553434 2393948260 3590922390 4309106868 5386383585 7181844780 10772767170 21545534340