Search a number
-
+
66118478634 = 23413431275749
BaseRepresentation
bin111101100100111101…
…111110101100101010
320022122220120201120000
4331210331332230222
52040402312304014
650212512243430
74530322536555
oct754475765452
9208586521500
1066118478634
112604a18067a
1210992b40576
136309239550
1432b330369c
151abe990509
hexf64f7eb2a

66118478634 has 160 divisors (see below), whose sum is σ = 164575488000. Its totient is φ = 19711133568.

The previous prime is 66118478617. The next prime is 66118478653. The reversal of 66118478634 is 43687481166.

It is a super-4 number, since 4×661184786344 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 11497992 + ... + 11503740.

It is an arithmetic number, because the mean of its divisors is an integer number (1028596800).

Almost surely, 266118478634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66118478634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82287744000).

66118478634 is an abundant number, since it is smaller than the sum of its proper divisors (98457009366).

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

66118478634 is a wasteful number, since it uses less digits than its factorization.

66118478634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5937 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 66118478634 in words is "sixty-six billion, one hundred eighteen million, four hundred seventy-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 127 129 162 234 254 258 351 381 387 559 702 762 774 1053 1118 1143 1161 1651 1677 2106 2286 2322 3302 3354 3429 3483 4953 5031 5461 5749 6858 6966 9906 10062 10287 10922 11498 14859 15093 16383 17247 20574 29718 30186 32766 34494 44577 45279 49149 51741 70993 74737 89154 90558 98298 103482 133731 141986 147447 149474 155223 212979 224211 247207 267462 294894 310446 425958 442341 448422 465669 494414 638937 672633 730123 741621 884682 931338 1277874 1345266 1460246 1483242 1916811 2017899 2190369 2224863 3213691 3833622 4035798 4380738 4449726 5750433 6053697 6427382 6571107 6674589 9491599 9641073 11500866 12107394 13142214 13349178 18983198 19282146 19713321 20023767 28474797 28923219 31395289 39426642 40047534 56949594 57846438 59139963 62790578 85424391 86769657 94185867 118279926 170848782 173539314 188371734 256273173 260308971 282557601 408138757 512546346 520617942 565115202 768819519 816277514 847672803 1224416271 1537639038 1695345606 2448832542 2543018409 3673248813 5086036818 7346497626 11019746439 22039492878 33059239317 66118478634