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132717121520 = 2456776132537
BaseRepresentation
bin111101110011010001…
…1101000111111110000
3110200120021200022122012
41323212203220333300
54133301040342040
6140545220302052
712405565630304
oct1734643507760
9420507608565
10132717121520
115131539a805
122187a841928
13c690aa4449
1465d02b7d04
1536bb67b865
hex1ee68e8ff0

132717121520 has 80 divisors (see below), whose sum is σ = 313593955488. Its totient is φ = 52224184320.

The previous prime is 132717121519. The next prime is 132717121561. The reversal of 132717121520 is 25121717231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1327171215202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062692 + ... + 4095228.

Almost surely, 2132717121520 is an apocalyptic number.

132717121520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132717121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156796977744).

132717121520 is an abundant number, since it is smaller than the sum of its proper divisors (180876833968).

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

132717121520 is a wasteful number, since it uses less digits than its factorization.

132717121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33378 (or 33372 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

Adding to 132717121520 its reverse (25121717231), we get a palindrome (157838838751).

The spelling of 132717121520 in words is "one hundred thirty-two billion, seven hundred seventeen million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 761 1072 1340 1522 2680 3044 3805 5360 6088 7610 12176 15220 30440 32537 50987 60880 65074 101974 130148 162685 203948 254935 260296 325370 407896 509870 520592 650740 815792 1019740 1301480 2039480 2179979 2602960 4078960 4359958 8719916 10899895 17439832 21799790 24760657 34879664 43599580 49521314 87199160 99042628 123803285 174398320 198085256 247606570 396170512 495213140 990426280 1658964019 1980852560 3317928038 6635856076 8294820095 13271712152 16589640190 26543424304 33179280380 66358560760 132717121520