Search a number
-
+
66207362718 = 23731213911801
BaseRepresentation
bin111101101010010001…
…000010111010011110
320022220002211111121010
4331222101002322132
52041043041101333
650225405320050
74532452204050
oct755221027236
9208802744533
1066207362718
112609536a5a2
12109b8866026
13632178a593
1432c103d8d0
151ac769b563
hexf6a442e9e

66207362718 has 96 divisors (see below), whose sum is σ = 157508547840. Its totient is φ = 18172944000.

The previous prime is 66207362671. The next prime is 66207362777. The reversal of 66207362718 is 81726370266.

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 47 ways as a sum of consecutive naturals, for example, 5604418 + ... + 5616218.

It is an arithmetic number, because the mean of its divisors is an integer number (1640714040).

Almost surely, 266207362718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66207362718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78754273920).

66207362718 is an abundant number, since it is smaller than the sum of its proper divisors (91301185122).

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

66207362718 is a wasteful number, since it uses less digits than its factorization.

66207362718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 66207362718 in words is "sixty-six billion, two hundred seven million, three hundred sixty-two thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 139 186 217 278 417 434 651 834 961 973 1302 1922 1946 2883 2919 4309 5766 5838 6727 8618 11801 12927 13454 20181 23602 25854 30163 35403 40362 60326 70806 82607 90489 133579 165214 180978 247821 267158 365831 400737 495642 731662 801474 935053 1097493 1640339 1870106 2194986 2560817 2805159 3280678 4921017 5121634 5610318 7682451 9842034 11340761 11482373 15364902 22681522 22964746 34022283 34447119 50850509 68044566 68894238 79385327 101701018 152551527 158770654 238155981 305103054 355953563 476311962 711907126 1067860689 1576365779 2135721378 3152731558 4729097337 9458194674 11034560453 22069120906 33103681359 66207362718