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132380077698 = 232111759876569
BaseRepresentation
bin111101101001001110…
…1111010111010000010
3110122200210110201102200
41323102131322322002
54132103244441243
6140451540254030
712364334044251
oct1732235727202
9418623421380
10132380077698
11511621147a0
12217a59a1316
13c63900652b
14659b620798
15369bca1ad3
hex1ed277ae82

132380077698 has 96 divisors (see below), whose sum is σ = 331409931840. Its totient is φ = 37743406080.

The previous prime is 132380077657. The next prime is 132380077733. The reversal of 132380077698 is 896770083231.

132380077698 is a `hidden beast` number, since 132 + 380 + 0 + 77 + 69 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20148958 + ... + 20155526.

It is an arithmetic number, because the mean of its divisors is an integer number (3452186790).

Almost surely, 2132380077698 is an apocalyptic number.

132380077698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132380077698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165704965920).

132380077698 is an abundant number, since it is smaller than the sum of its proper divisors (199029854142).

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

132380077698 is a wasteful number, since it uses less digits than its factorization.

132380077698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 132380077698 in words is "one hundred thirty-two billion, three hundred eighty million, seventy-seven thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 5987 6569 11974 13138 17961 19707 35922 39414 53883 59121 65857 72259 101779 107766 111673 118242 131714 144518 197571 203558 216777 223346 305337 335019 395142 433554 592713 610674 650331 670038 916011 1005057 1119569 1185426 1228403 1300662 1832022 2010114 2239138 2456806 3358707 3685209 6717414 7370418 10076121 11055627 20152242 22111254 39328603 78657206 117985809 235971618 353957427 432614633 668586251 707914854 865229266 1297843899 1337172502 2005758753 2595687798 3893531697 4011517506 6017276259 7354448761 7787063394 12034552518 14708897522 22063346283 44126692566 66190038849 132380077698