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66275987640 = 23352327188609
BaseRepresentation
bin111101101110010110…
…110101000010111000
320100001212222000021220
4331232112311002320
52041213123101030
650240300232040
74534244412522
oct755626650270
9210055860256
1066275987640
1126120081505
1210a1783b620
136332a67245
1432ca1c4a12
151acd704a10
hexf6e5b50b8

66275987640 has 128 divisors (see below), whose sum is σ = 208240588800. Its totient is φ = 16842608640.

The previous prime is 66275987629. The next prime is 66275987647. The reversal of 66275987640 is 4678957266.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66275987647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703656 + ... + 792264.

It is an arithmetic number, because the mean of its divisors is an integer number (1626879600).

Almost surely, 266275987640 is an apocalyptic number.

66275987640 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 66275987640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104120294400).

66275987640 is an abundant number, since it is smaller than the sum of its proper divisors (141964601160).

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

66275987640 is a wasteful number, since it uses less digits than its factorization.

66275987640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88917 (or 88913 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 66275987640 in words is "sixty-six billion, two hundred seventy-five million, nine hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 271 276 345 460 542 552 690 813 920 1084 1355 1380 1626 2168 2710 2760 3252 4065 5420 6233 6504 8130 10840 12466 16260 18699 24932 31165 32520 37398 49864 62330 74796 88609 93495 124660 149592 177218 186990 249320 265827 354436 373980 443045 531654 708872 747960 886090 1063308 1329135 1772180 2038007 2126616 2658270 3544360 4076014 5316540 6114021 8152028 10190035 10633080 12228042 16304056 20380070 24013039 24456084 30570105 40760140 48026078 48912168 61140210 72039117 81520280 96052156 120065195 122280420 144078234 192104312 240130390 244560840 288156468 360195585 480260780 552299897 576312936 720391170 960521560 1104599794 1440782340 1656899691 2209199588 2761499485 2881564680 3313799382 4418399176 5522998970 6627598764 8284498455 11045997940 13255197528 16568996910 22091995880 33137993820 66275987640