Search a number
-
+
66686231370 = 235114310634421
BaseRepresentation
bin111110000110110011…
…110010001101001010
320101010110220112220010
4332012303302031022
52043033133400440
650345113212350
74550355420423
oct760663621512
9211113815803
1066686231370
1126310703710
1210b111010b6
136399a54305
14332889464a
151b0473d580
hexf86cf234a

66686231370 has 128 divisors (see below), whose sum is σ = 178865584128. Its totient is φ = 15771974400.

The previous prime is 66686231357. The next prime is 66686231383. The reversal of 66686231370 is 7313268666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66686231357) and next prime (66686231383).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15081760 + ... + 15086180.

It is an arithmetic number, because the mean of its divisors is an integer number (1397387376).

Almost surely, 266686231370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66686231370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89432792064).

66686231370 is an abundant number, since it is smaller than the sum of its proper divisors (112179352758).

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

66686231370 is a wasteful number, since it uses less digits than its factorization.

66686231370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548.

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 66686231370 in words is "sixty-six billion, six hundred eighty-six million, two hundred thirty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1063 1290 1419 2126 2365 2838 3189 4421 4730 5315 6378 7095 8842 10630 11693 13263 14190 15945 22105 23386 26526 31890 35079 44210 45709 48631 58465 66315 70158 91418 97262 116930 132630 137127 145893 175395 190103 228545 243155 274254 291786 350790 380206 457090 486310 502799 570309 685635 729465 950515 1005598 1140618 1371270 1458930 1508397 1901030 2091133 2513995 2851545 3016794 4182266 4699523 5027990 5703090 6273399 7541985 9399046 10455665 12546798 14098569 15083970 20911330 23497615 28197138 31366995 46995230 51694753 62733990 70492845 103389506 140985690 155084259 202079489 258473765 310168518 404158978 516947530 606238467 775421295 1010397445 1212476934 1550842590 2020794890 2222874379 3031192335 4445748758 6062384670 6668623137 11114371895 13337246274 22228743790 33343115685 66686231370