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64868166 = 232111943401
BaseRepresentation
bin1111011101110…
…0111101000110
311112001122101200
43313130331012
5113101240131
610234203330
71415241006
oct367347506
9145048350
1064868166
1133686460
1219883546
1310592a3c
148888006
155a652e6
hex3ddcf46

64868166 has 96 divisors (see below), whose sum is σ = 165559680. Its totient is φ = 18144000.

The previous prime is 64868129. The next prime is 64868173. The reversal of 64868166 is 66186846.

64868166 is a `hidden beast` number, since 6 + 486 + 8 + 166 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161566 + ... + 161966.

It is an arithmetic number, because the mean of its divisors is an integer number (1724580).

Almost surely, 264868166 is an apocalyptic number.

64868166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64868166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82779840).

64868166 is an abundant number, since it is smaller than the sum of its proper divisors (100691514).

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

64868166 is a wasteful number, since it uses less digits than its factorization.

64868166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 64868166 is about 8054.0776008181. The cubic root of 64868166 is about 401.8005619470.

The spelling of 64868166 in words is "sixty-four million, eight hundred sixty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 43 57 66 86 99 114 129 171 198 209 258 342 387 401 418 473 627 774 802 817 946 1203 1254 1419 1634 1881 2406 2451 2838 3609 3762 4257 4411 4902 7218 7353 7619 8514 8822 8987 13233 14706 15238 17243 17974 22857 26466 26961 34486 39699 45714 51729 53922 68571 79398 80883 83809 103458 137142 155187 161766 167618 189673 251427 310374 327617 379346 502854 569019 655234 754281 982851 1138038 1508562 1707057 1965702 2948553 3414114 3603787 5897106 7207574 10811361 21622722 32434083 64868166