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132964416200 = 23527118634053
BaseRepresentation
bin111101111010101001…
…0111111101011001000
3110201012112000012011102
41323311102333223020
54134302342304300
6141025532520532
712414660614120
oct1736522775310
9421175005142
10132964416200
1151431a45980
1221929620148
13c7000aa665
14661508bc80
1536d32290d5
hex1ef54bfac8

132964416200 has 96 divisors (see below), whose sum is σ = 385424170560. Its totient is φ = 41443449600.

The previous prime is 132964416197. The next prime is 132964416217. The reversal of 132964416200 is 2614469231.

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 23 ways as a sum of consecutive naturals, for example, 4301627 + ... + 4332426.

It is an arithmetic number, because the mean of its divisors is an integer number (4014835110).

Almost surely, 2132964416200 is an apocalyptic number.

132964416200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132964416200 is an abundant number, since it is smaller than the sum of its proper divisors (252459754360).

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

132964416200 is a wasteful number, since it uses less digits than its factorization.

132964416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634087 (or 8634078 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 132964416200 in words is "one hundred thirty-two billion, nine hundred sixty-four million, four hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 8634053 17268106 34536212 43170265 60438371 69072424 86340530 94974583 120876742 172681060 189949166 215851325 241753484 302191855 345362120 379898332 431702650 474872915 483506968 604383710 664822081 759796664 863405300 949745830 1208767420 1329644162 1510959275 1726810600 1899491660 2374364575 2417534840 2659288324 3021918550 3324110405 3798983320 4748729150 5318576648 6043837100 6648220810 9497458300 12087674200 13296441620 16620552025 18994916600 26592883240 33241104050 66482208100 132964416200