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66421534500 = 22325353278497
BaseRepresentation
bin111101110111000010…
…000010111100100100
320100110000211120001100
4331313002002330210
52042012403101000
650302540000100
74540662504426
oct756702027444
9210400746040
1066421534500
1126195251a72
1210a58530030
136356c67249
143301670816
151adb3a4a00
hexf77082f24

66421534500 has 144 divisors (see below), whose sum is σ = 213492110832. Its totient is φ = 17378150400.

The previous prime is 66421534493. The next prime is 66421534519. The reversal of 66421534500 is 543512466.

66421534500 is a `hidden beast` number, since 6 + 642 + 1 + 5 + 3 + 4 + 5 + 0 + 0 = 666.

66421534500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4333852224 + 62087682276 = 65832^2 + 249174^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99252 + ... + 377748.

It is an arithmetic number, because the mean of its divisors is an integer number (1482584103).

Almost surely, 266421534500 is an apocalyptic number.

66421534500 is a gapful number since it is divisible by the number (60) 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 66421534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106746055416).

66421534500 is an abundant number, since it is smaller than the sum of its proper divisors (147070576332).

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

66421534500 is a wasteful number, since it uses less digits than its factorization.

66421534500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278575 (or 278560 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 66421534500 in words is "sixty-six billion, four hundred twenty-one million, five hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 125 150 159 180 212 225 250 265 300 318 375 450 477 500 530 636 750 795 900 954 1060 1125 1325 1500 1590 1908 2250 2385 2650 3180 3975 4500 4770 5300 6625 7950 9540 11925 13250 15900 19875 23850 26500 39750 47700 59625 79500 119250 238500 278497 556994 835491 1113988 1392485 1670982 2506473 2784970 3341964 4177455 5012946 5569940 6962425 8354910 10025892 12532365 13924850 14760341 16709820 20887275 25064730 27849700 29520682 34812125 41774550 44281023 50129460 59041364 62661825 69624250 73801705 83549100 88562046 104436375 125323650 132843069 139248500 147603410 177124092 208872750 221405115 250647300 265686138 295206820 313309125 369008525 417745500 442810230 531372276 626618250 664215345 738017050 885620460 1107025575 1253236500 1328430690 1476034100 1845042625 2214051150 2656861380 3321076725 3690085250 4428102300 5535127875 6642153450 7380170500 11070255750 13284306900 16605383625 22140511500 33210767250 66421534500