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66452112540 = 223251133561673
BaseRepresentation
bin111101111000110110…
…101100010010011100
320100112011101002020100
4331320312230102130
52042043220100130
650305551221100
74541513431302
oct757066542234
9210464332210
1066452112540
1126200537780
1210a66817790
1363603b2368
143305750272
151addde4c60
hexf78dac49c

66452112540 has 72 divisors (see below), whose sum is σ = 219896088048. Its totient is φ = 16109602560.

The previous prime is 66452112539. The next prime is 66452112547. The reversal of 66452112540 is 4521125466.

66452112540 is a `hidden beast` number, since 6 + 6 + 4 + 521 + 125 + 4 + 0 = 666.

It is a super-2 number, since 2×664521125402 (a number of 22 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 = 66452112495 and 66452112504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66452112547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16778857 + ... + 16782816.

It is an arithmetic number, because the mean of its divisors is an integer number (3054112334).

Almost surely, 266452112540 is an apocalyptic number.

66452112540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66452112540 is an abundant number, since it is smaller than the sum of its proper divisors (153443975508).

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

66452112540 is a wasteful number, since it uses less digits than its factorization.

66452112540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33561699 (or 33561694 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 6 and 6452112540, that added together give a palindrome (6452112546).

The spelling of 66452112540 in words is "sixty-six billion, four hundred fifty-two million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 33561673 67123346 100685019 134246692 167808365 201370038 302055057 335616730 369178403 402740076 503425095 604110114 671233460 738356806 1006850190 1107535209 1208220228 1476713612 1510275285 1845892015 2013700380 2215070418 3020550570 3322605627 3691784030 4430140836 5537676045 6041101140 6645211254 7383568060 11075352090 13290422508 16613028135 22150704180 33226056270 66452112540