Search a number
-
+
11685007544694 = 23111747673307223
BaseRepresentation
bin1010101000001010000010…
…1110010101000101110110
31112101002001021012102201220
42222002200232111011312
53012421343412412234
640504003544331210
72314133244222531
oct252024056250566
945332037172656
1011685007544694
1137a5647149a80
121388771473b06
13669b78787063
142c57b365ba18
15153e4943ca49
hexaa0a0b95176

11685007544694 has 128 divisors (see below), whose sum is σ = 27980067520512. Its totient is φ = 3213032317440.

The previous prime is 11685007544681. The next prime is 11685007544699. The reversal of 11685007544694 is 49644570058611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11685007544699) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1879567 + ... + 5186789.

It is an arithmetic number, because the mean of its divisors is an integer number (218594277504).

Almost surely, 211685007544694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11685007544694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990033760256).

11685007544694 is an abundant number, since it is smaller than the sum of its proper divisors (16295059975818).

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

11685007544694 is a wasteful number, since it uses less digits than its factorization.

11685007544694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307370.

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 11685007544694 in words is "eleven trillion, six hundred eighty-five billion, seven million, five hundred forty-four thousand, six hundred ninety-four".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 67 94 102 134 141 187 201 282 374 402 517 561 737 799 1034 1122 1139 1474 1551 1598 2211 2278 2397 3102 3149 3417 4422 4794 6298 6834 8789 9447 12529 17578 18894 25058 26367 34639 37587 52734 53533 69278 75174 103917 107066 160599 207834 321198 588863 1177726 1766589 3307223 3533178 6614446 9921669 19843338 36379453 56222791 72758906 109138359 112445582 155439481 168668373 218276718 221583941 310878962 337336746 443167882 466318443 618450701 664751823 932636886 1236901402 1329503646 1709834291 1855352103 2437423351 2642471177 3419668582 3710704206 3766926997 4874846702 5129502873 5284942354 7312270053 7533853994 7927413531 10259005746 10414445227 11300780991 14624540106 15854827062 20828890454 22601561982 29067182947 31243335681 41436196967 58134365894 62486671362 82872393934 87201548841 114558897497 124308590901 174403097682 177045568859 229117794994 248617181802 343676692491 354091137718 531136706577 687353384982 1062273413154 1947501257449 3895002514898 5842503772347 11685007544694