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132772802368440 = 233513112913753773
BaseRepresentation
bin11110001100000110010011…
…101110001001001110111000
3122102002221210212212001011010
4132030012103232021032320
5114400322144401242230
61150214552223433520
736652342550024223
oct3614062356111670
9572087725761133
10132772802368440
113933a6a1614653
1212a84312a558a0
13591156317a0c0
1424b0348c085ba
151053ad2c959b0
hex78c193b893b8

132772802368440 has 128 divisors (see below), whose sum is σ = 428962652677440. Its totient is φ = 32682203160576.

The previous prime is 132772802368391. The next prime is 132772802368463. The reversal of 132772802368440 is 44863208277231.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 175767394 + ... + 176521166.

Almost surely, 2132772802368440 is an apocalyptic number.

132772802368440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132772802368440 is an abundant number, since it is smaller than the sum of its proper divisors (296189850309000).

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

132772802368440 is a wasteful number, since it uses less digits than its factorization.

132772802368440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866713 (or 866709 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 132772802368440 in words is "one hundred thirty-two trillion, seven hundred seventy-two billion, eight hundred two million, three hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 112913 225826 338739 451652 564565 677478 753773 903304 1129130 1354956 1467869 1507546 1693695 2258260 2261319 2709912 2935738 3015092 3387390 3768865 4403607 4516520 4522638 5871476 6030184 6774780 7339345 7537730 8807214 9045276 9799049 11306595 11742952 13549560 14678690 15075460 17614428 18090552 19598098 22018035 22613190 29357380 29397147 30150920 35228856 39196196 44036070 45226380 48995245 58714760 58794294 78392392 88072140 90452760 97990490 117588588 146985735 176144280 195980980 235177176 293971470 391961960 587942940 1175885880 85110770749 170221541498 255332312247 340443082996 425553853745 510664624494 680886165992 851107707490 1021329248988 1106440019737 1276661561235 1702215414980 2042658497976 2212880039474 2553323122470 3319320059211 3404430829960 4425760078948 5106646244940 5532200098685 6638640118422 8851520157896 10213292489880 11064400197370 13277280236844 16596600296055 22128800394740 26554560473688 33193200592110 44257600789480 66386401184220 132772802368440