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61166666616 = 233111997431567
BaseRepresentation
bin111000111101110100…
…010100001101111000
312211212210212121110220
4320331310110031320
52000232131312431
644033301540040
74263524042046
oct707564241570
9184783777426
1061166666616
1123a38a96a50
12ba30714620
1359ca380373
142d637c7396
1518ceda6b96
hexe3dd14378

61166666616 has 128 divisors (see below), whose sum is σ = 167989248000. Its totient is φ = 18405636480.

The previous prime is 61166666599. The next prime is 61166666623. The reversal of 61166666616 is 61666666116.

It is a happy number.

It is a super-2 number, since 2×611666666162 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 39033465 + ... + 39035031.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416000).

Almost surely, 261166666616 is an apocalyptic number.

61166666616 is a gapful number since it is divisible by the number (66) 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 61166666616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624000).

61166666616 is an abundant number, since it is smaller than the sum of its proper divisors (106822581384).

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

61166666616 is a wasteful number, since it uses less digits than its factorization.

61166666616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2525 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The spelling of 61166666616 in words is "sixty-one billion, one hundred sixty-six million, six hundred sixty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 743 796 1194 1486 1567 1592 2189 2229 2388 2972 3134 4378 4458 4701 4776 5944 6268 6567 8173 8756 8916 9402 12536 13134 16346 17237 17512 17832 18804 24519 26268 32692 34474 37608 49038 51711 52536 65384 68948 98076 103422 137896 147857 196152 206844 295714 311833 413688 443571 591428 623666 887142 935499 1164281 1182856 1247332 1626427 1774284 1870998 2328562 2494664 3252854 3430163 3492843 3548568 3741996 4657124 4879281 6505708 6860326 6985686 7483992 9314248 9758562 10290489 12807091 13011416 13720652 13971372 19517124 20580978 25614182 27441304 27942744 38421273 39034248 41161956 51228364 76842546 82323912 102456728 153685092 231691919 307370184 463383838 695075757 926767676 1390151514 1853535352 2548611109 2780303028 5097222218 5560606056 7645833327 10194444436 15291666654 20388888872 30583333308 61166666616