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65117052220612 = 22753712292698777
BaseRepresentation
bin11101100111001001111101…
…10001000011010011000100
322112120010111022220112202111
432303210332301003103010
532013334210332024422
6350254205534150404
716500360154234150
oct1663447661032304
9275503438815674
1065117052220612
1119825a94420477
127378155052404
132a446861ca652
141211979b34060
1577dc9d59da77
hex3b393ec434c4

65117052220612 has 96 divisors (see below), whose sum is σ = 135147893368320. Its totient is φ = 26877218135040.

The previous prime is 65117052220543. The next prime is 65117052220673. The reversal of 65117052220612 is 21602225071156.

It is a happy number.

65117052220612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×651170522206123 (a number of 42 digits) contains 333 as substring.

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, 22778968 + ... + 25477744.

It is an arithmetic number, because the mean of its divisors is an integer number (1407790555920).

Almost surely, 265117052220612 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 65117052220612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67573946684160).

65117052220612 is an abundant number, since it is smaller than the sum of its proper divisors (70030841147708).

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

65117052220612 is a wasteful number, since it uses less digits than its factorization.

65117052220612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699141 (or 2699139 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

Adding to 65117052220612 its reverse (21602225071156), we get a palindrome (86719277291768).

The spelling of 65117052220612 in words is "sixty-five trillion, one hundred seventeen billion, fifty-two million, two hundred twenty thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 53 71 106 142 212 229 284 371 458 497 742 916 994 1484 1603 1988 3206 3763 6412 7526 12137 15052 16259 24274 26341 32518 48548 52682 65036 84959 105364 113813 169918 227626 339836 455252 861727 1723454 2698777 3446908 5397554 6032089 10795108 12064178 18891439 24128356 37782878 75565756 143035181 191613167 286070362 383226334 572140724 618019933 766452668 1001246267 1236039866 1341292169 2002492534 2472079732 2682584338 4004985068 4326139531 5365168676 8652279062 10155497851 17304558124 20310995702 32755056449 40621991404 43879415243 65510112898 71088484957 87758830486 131020225796 142176969914 175517660972 229285395143 284353939828 307155906701 458570790286 614311813402 917141580572 1228623626804 2325609007879 4651218015758 9302436031516 16279263055153 32558526110306 65117052220612