Search a number
-
+
66642271570311 = 317243261681497
BaseRepresentation
bin11110010011100010111001…
…11011001000100110000111
322201221221100111012101111220
433021301130323020212013
532213331333010222221
6353423011550131423
720015513420631453
oct1711613473104607
9281857314171456
1066642271570311
111a263912a39528
127583875ab0b73
132b2545441ab88
141265708925663
157a87b99e80c6
hex3c9c5cec8987

66642271570311 has 72 divisors (see below), whose sum is σ = 98221204561104. Its totient is φ = 40172717168640.

The previous prime is 66642271570309. The next prime is 66642271570361. The reversal of 66642271570311 is 11307517224666.

It is not a de Polignac number, because 66642271570311 - 21 = 66642271570309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66642271570361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97447315 + ... + 98128811.

It is an arithmetic number, because the mean of its divisors is an integer number (1364183396682).

Almost surely, 266642271570311 is an apocalyptic number.

66642271570311 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

66642271570311 is a deficient number, since it is larger than the sum of its proper divisors (31578932990793).

66642271570311 is a wasteful number, since it uses less digits than its factorization.

66642271570311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681681 (or 681621 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

Adding to 66642271570311 its reverse (11307517224666), we get a palindrome (77949788794977).

The spelling of 66642271570311 in words is "sixty-six trillion, six hundred forty-two billion, two hundred seventy-one million, five hundred seventy thousand, three hundred eleven".

Divisors: 1 3 17 43 51 61 129 183 289 731 867 1037 1849 2193 2623 3111 5547 7869 12427 17629 31433 37281 44591 52887 94299 112789 133773 338367 534361 681497 758047 1603083 1917413 2044491 2274141 5752239 11585449 29304371 32596021 34756347 41571317 87913113 97788063 124713951 196952633 498174307 590857899 706712389 1260087953 1494522921 1787566631 2120137167 3780263859 5362699893 8468963219 12014110613 21421495201 25406889657 30388632727 36042331839 64264485603 76865365133 91165898181 230596095399 364165418417 516606756359 1092496255251 1306711207261 1549820269077 3920133621783 22214090523437 66642271570311