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132656331530466 = 23219895647771781
BaseRepresentation
bin11110001010011001110101…
…100001001010000011100010
3122101200211011211102102211100
4132022121311201022003202
5114341420131332433331
61150045251041255230
736641050363160022
oct3612316541120342
9571624154372740
10132656331530466
11392a5263895167
1212a65829034516
13590359119cab3
1424a885a491a82
151050a67a5cae6
hex78a67584a0e2

132656331530466 has 96 divisors (see below), whose sum is σ = 306003536467200. Its totient is φ = 41413393739520.

The previous prime is 132656331530449. The next prime is 132656331530467. The reversal of 132656331530466 is 664035133656231.

132656331530466 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 63 + 3 + 1 + 530 + 46 + 6 = 666.

It is a super-3 number, since 3×1326563315304663 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132656331530467) 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, 171497496 + ... + 172269276.

It is an arithmetic number, because the mean of its divisors is an integer number (3187536838200).

Almost surely, 2132656331530466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132656331530466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153001768233600).

132656331530466 is an abundant number, since it is smaller than the sum of its proper divisors (173347204936734).

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

132656331530466 is a wasteful number, since it uses less digits than its factorization.

132656331530466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777544 (or 777541 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 132656331530466 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, three hundred thirty-one million, five hundred thirty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 267 342 534 801 1602 1691 3382 5073 5647 10146 11294 15219 16941 30438 33882 50823 101646 107293 214586 321879 502583 643758 771781 965637 1005166 1507749 1543562 1931274 2315343 3015498 4523247 4630686 6946029 9046494 9549077 13892058 14663839 19098154 28647231 29327678 43991517 57294462 68688509 85941693 87983034 131974551 137377018 171883386 206065527 263949102 412131054 618196581 1236393162 1305081671 2610163342 3915245013 4358247307 7830490026 8716494614 11745735039 13074741921 23491470078 26149483842 39224225763 78448451526 82806698833 165613397666 248420096499 387884010323 496840192998 745260289497 775768020646 1163652030969 1490520578994 2327304061938 3490956092907 6981912185814 7369796196137 14739592392274 22109388588411 44218777176822 66328165765233 132656331530466