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132314673750 = 2354710314889
BaseRepresentation
bin111101100111010010…
…0011011001001010110
3110122112020101212002020
41323032210123021112
54131440024030000
6140441242354010
712362611112220
oct1731644331126
9418466355066
10132314673750
1151129202846
1221787abb906
13c6285b697c
146592a77410
153696182ba0
hex1ece91b256

132314673750 has 160 divisors (see below), whose sum is σ = 378364884480. Its totient is φ = 30207840000.

The previous prime is 132314673709. The next prime is 132314673761. The reversal of 132314673750 is 57376413231.

It is a happy number.

132314673750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27061306 + ... + 27066194.

It is an arithmetic number, because the mean of its divisors is an integer number (2364780528).

Almost surely, 2132314673750 is an apocalyptic number.

132314673750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132314673750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189182442240).

132314673750 is an abundant number, since it is smaller than the sum of its proper divisors (246050210730).

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

132314673750 is a wasteful number, since it uses less digits than its factorization.

132314673750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 132314673750 in words is "one hundred thirty-two billion, three hundred fourteen million, six hundred seventy-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 625 750 875 1031 1050 1250 1750 1875 2062 2625 3093 3750 4375 4889 5155 5250 6186 7217 8750 9778 10310 13125 14434 14667 15465 21651 24445 25775 26250 29334 30930 34223 36085 43302 48890 51550 68446 72170 73335 77325 102669 108255 122225 128875 146670 154650 171115 180425 205338 216510 244450 257750 342230 360850 366675 386625 513345 541275 611125 644375 733350 773250 855575 902125 1026690 1082550 1222250 1288750 1711150 1804250 1833375 1933125 2566725 2706375 3055625 3666750 3866250 4277875 4510625 5040559 5133450 5412750 6111250 8555750 9021250 9166875 10081118 12833625 13531875 15121677 18333750 21389375 25202795 25667250 27063750 30243354 35283913 42778750 50405590 64168125 70567826 75608385 105851739 126013975 128336250 151216770 176419565 211703478 252027950 352839130 378041925 529258695 630069875 756083850 882097825 1058517390 1260139750 1764195650 1890209625 2646293475 3150349375 3780419250 4410489125 5292586950 6300698750 8820978250 9451048125 13231467375 18902096250 22052445625 26462934750 44104891250 66157336875 132314673750