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132264642625416 = 23347291005478339
BaseRepresentation
bin11110000100101101000011…
…000010100011111110001000
3122100022101011100122102210000
4132010231003002203332020
5114314010442003003131
61145145312112523000
736600543100335360
oct3604550302437610
9570271140572700
10132264642625416
11391641356a2484
1212a01935250460
1358a566b688722
1424939000179a0
151045790b10ce6
hex784b430a3f88

132264642625416 has 160 divisors (see below), whose sum is σ = 437986364904000. Its totient is φ = 36486797929344.

The previous prime is 132264642625411. The next prime is 132264642625433. The reversal of 132264642625416 is 614526246462231.

132264642625416 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 6 + 4 + 6 + 4 + 2 + 625 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×1322646426254162 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132264642625411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 502607626 + ... + 502870713.

It is an arithmetic number, because the mean of its divisors is an integer number (2737414780650).

Almost surely, 2132264642625416 is an apocalyptic number.

It is an amenable number.

132264642625416 is an abundant number, since it is smaller than the sum of its proper divisors (305721722278584).

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

132264642625416 is a wasteful number, since it uses less digits than its factorization.

132264642625416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005478393 (or 1005478380 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 132264642625416 in words is "one hundred thirty-two trillion, two hundred sixty-four billion, six hundred forty-two million, six hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1512 1566 1624 1827 2088 2268 2349 2436 3132 3654 4536 4698 4872 5481 6264 7308 9396 10962 14616 16443 18792 21924 32886 43848 65772 131544 1005478339 2010956678 3016435017 4021913356 6032870034 7038348373 8043826712 9049305051 12065740068 14076696746 18098610102 21115045119 24131480136 27147915153 28153393492 29158871831 36197220204 42230090238 54295830306 56306786984 58317743662 63345135357 72394440408 81443745459 84460180476 87476615493 108591660612 116635487324 126690270714 162887490918 168920360952 174953230986 190035406071 204112102817 217183321224 233270974648 253380541428 262429846479 325774981836 349906461972 380070812142 408224205634 506761082856 524859692958 570106218213 612336308451 651549963672 699812923944 760141624284 787289539437 816448411268 1049719385916 1140212436426 1224672616902 1520283248568 1574579078874 1632896822536 1837008925353 2099438771832 2280424872852 2361868618311 2449345233804 3149158157748 3674017850706 4560849745704 4723737236622 4898690467608 5511026776059 6298316315496 7348035701412 9447474473244 11022053552118 14696071402824 16533080328177 18894948946488 22044107104236 33066160656354 44088214208472 66132321312708 132264642625416