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667520367716334 = 231129111310976991
BaseRepresentation
bin1001011111000110110011001…
…0011001011110011111101110
310020112111022202010220120112110
42113301230302121132133232
51144443123203113410314
610323410342402344450
7260413516663254606
oct22761546231363756
93215438663816473
10667520367716334
111837688863a0600
1262a49b0465b126
1322860b92756152
14baba2300a5c06
155228b0b256a59
hex25f1b3265e7ee

667520367716334 has 96 divisors (see below), whose sum is σ = 1469183419146240. Its totient is φ = 202038820984000.

The previous prime is 667520367716317. The next prime is 667520367716339. The reversal of 667520367716334 is 433617763025766.

It is a super-2 number, since 2×6675203677163342 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667520367716339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8670070579 + ... + 8670147569.

It is an arithmetic number, because the mean of its divisors is an integer number (15303993949440).

Almost surely, 2667520367716334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667520367716334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734591709573120).

667520367716334 is an abundant number, since it is smaller than the sum of its proper divisors (801663051429906).

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

667520367716334 is a wasteful number, since it uses less digits than its factorization.

667520367716334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91038 (or 91027 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 66.

The spelling of 667520367716334 in words is "six hundred sixty-seven trillion, five hundred twenty billion, three hundred sixty-seven million, seven hundred sixteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 911 1822 2733 5466 10021 13109 20042 26218 30063 39327 60126 76991 78654 110231 144199 153982 220462 230973 288398 330693 432597 461946 661386 846901 865194 1586189 1693802 2540703 3172378 4758567 5081406 9315911 9517134 11942299 18631822 23884598 27947733 35826897 55895466 70138801 71653794 131365289 140277602 210416403 262730578 394095867 420832806 771526811 788191734 1009275019 1445018179 1543053622 2018550038 2314580433 2890036358 3027825057 4335054537 4629160866 6055650114 8486794921 8670109074 11102025209 16973589842 22204050418 25460384763 33306075627 50920769526 66612151254 122122277299 244244554598 366366831897 732733663794 919449542309 1838899084618 2758348626927 5516697253854 10113944965399 20227889930798 30341834896197 60683669792394 111253394619389 222506789238778 333760183858167 667520367716334