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132323210552214 = 23311595576778637
BaseRepresentation
bin11110000101100011100101…
…111101011110001110010110
3122100111222100001112101102000
4132011203211331132032112
5114320440413400132324
61145232235502500130
736605015340445503
oct3605434575361626
9570458301471360
10132323210552214
1139186a5a774770
1212a1115b594646
1358ab043517606
14249669860a4aa
15104706c7859c9
hex7858e5f5e396

132323210552214 has 128 divisors (see below), whose sum is σ = 326806272345600. Its totient is φ = 39347541671040.

The previous prime is 132323210552191. The next prime is 132323210552257. The reversal of 132323210552214 is 412255012323231.

132323210552214 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 23 + 2 + 105 + 522 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16131304 + ... + 22909940.

It is an arithmetic number, because the mean of its divisors is an integer number (2553174002700).

Almost surely, 2132323210552214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323210552214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163403136172800).

132323210552214 is an abundant number, since it is smaller than the sum of its proper divisors (194483061793386).

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

132323210552214 is a wasteful number, since it uses less digits than its factorization.

132323210552214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779275 (or 6779269 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 132323210552214 its reverse (412255012323231), we get a palindrome (544578222875445).

The spelling of 132323210552214 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, two hundred ten million, five hundred fifty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 557 594 649 1062 1114 1298 1593 1671 1947 3186 3342 3894 5013 5841 6127 10026 11682 12254 15039 17523 18381 30078 32863 35046 36762 55143 65726 98589 110286 165429 197178 295767 330858 361493 591534 722986 887301 1084479 1774602 2168958 3253437 6506874 6778637 9760311 13557274 19520622 20335911 40671822 61007733 74565007 122015466 149130014 183023199 223695021 366046398 399939583 447390042 671085063 799879166 1199818749 1342170126 2013255189 2399637498 3599456247 3775700809 4026510378 4399335413 7198912494 7551401618 8798670826 10798368741 11327102427 13198006239 21596737482 22654204854 26396012478 33981307281 39594018717 41532708899 67962614562 79188037434 83065417798 101943921843 118782056151 124598126697 203887843686 222766347731 237564112302 249196253394 373794380091 445532695462 668299043193 747588760182 1121383140273 1336598086386 2004897129579 2242766280546 2450429825041 4009794259158 4900859650082 6014691388737 7351289475123 12029382777474 14702578950246 22053868425369 44107736850738 66161605276107 132323210552214