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66159187812 = 22327355745197
BaseRepresentation
bin111101100111011001…
…010001011101100100
320022202202011222001100
4331213121101131210
52040443223002222
650220525000100
74531325550324
oct754731213544
9208682158040
1066159187812
1126070156023
12109a46b3030
1363147c0b13
1432b889d284
151ac33324ac
hexf67651764

66159187812 has 72 divisors (see below), whose sum is σ = 169834739256. Its totient is φ = 21711435264.

The previous prime is 66159187811. The next prime is 66159187813. The reversal of 66159187812 is 21878195166.

It is a happy number.

66159187812 is a `hidden beast` number, since 6 + 615 + 9 + 1 + 8 + 7 + 8 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (66159187811) and next prime (66159187813).

It can be written as a sum of positive squares in 4 ways, for example, as 12745506816 + 53413680996 = 112896^2 + 231114^2 .

It is not an unprimeable number, because it can be changed into a prime (66159187811) 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, 1441198 + ... + 1486394.

It is an arithmetic number, because the mean of its divisors is an integer number (2358815823).

Almost surely, 266159187812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66159187812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84917369628).

66159187812 is an abundant number, since it is smaller than the sum of its proper divisors (103675551444).

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

66159187812 is a wasteful number, since it uses less digits than its factorization.

66159187812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45837 (or 45832 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 66159187812 in words is "sixty-six billion, one hundred fifty-nine million, one hundred eighty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 557 657 876 1114 1314 1671 2228 2628 3342 5013 6684 10026 20052 40661 45197 81322 90394 121983 135591 162644 180788 243966 271182 365949 406773 487932 542364 731898 813546 1463796 1627092 3299381 6598762 9898143 13197524 19796286 25174729 29694429 39592572 50349458 59388858 75524187 100698916 118777716 151048374 226572561 302096748 453145122 906290244 1837755217 3675510434 5513265651 7351020868 11026531302 16539796953 22053062604 33079593906 66159187812