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664635536466 = 2311101569175229
BaseRepresentation
bin10011010101111110101…
…11010111010001010010
32100112112121000111211020
421222333113113101102
541342133144131331
61225155050100310
766006200563206
oct11527727272122
92315477014736
10664635536466
11236963484830
12a898911a696
134a8a0897985
1424250644b06
151244e532c96
hex9abf5d7452

664635536466 has 64 divisors (see below), whose sum is σ = 1467053596800. Its totient is φ = 199059008000.

The previous prime is 664635536447. The next prime is 664635536479.

664635536466 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3705340 + ... + 3880568.

It is an arithmetic number, because the mean of its divisors is an integer number (22922712450).

Almost surely, 2664635536466 is an apocalyptic number.

664635536466 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 664635536466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733526798400).

664635536466 is an abundant number, since it is smaller than the sum of its proper divisors (802418060334).

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

664635536466 is a wasteful number, since it uses less digits than its factorization.

664635536466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175915.

The product of its digits is 167961600, while the sum is 60.

The spelling of 664635536466 in words is "six hundred sixty-four billion, six hundred thirty-five million, five hundred thirty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 569 606 1111 1138 1707 2222 3333 3414 6259 6666 12518 18777 37554 57469 114938 172407 175229 344814 350458 525687 632159 1051374 1264318 1896477 1927519 3792954 3855038 5782557 11565114 17698129 35396258 53094387 99705301 106188774 194679419 199410602 299115903 389358838 584038257 598231806 1096758311 1168076514 2193516622 3290274933 6580549866 10070235401 20140470802 30210706203 60421412406 110772589411 221545178822 332317768233 664635536466