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132819106040 = 2354351776303
BaseRepresentation
bin111101110110010100…
…0101011100011111000
3110200211101120200002122
41323230220223203320
54134003142343130
6141003302220412
712411244526255
oct1735450534370
9420741520078
10132819106040
1151367a17235
12218a8a24708
13c6a8c6130a
1465dda6442c
1536c55c42e5
hex1eeca2b8f8

132819106040 has 32 divisors (see below), whose sum is σ = 298853772480. Its totient is φ = 53125725312.

The previous prime is 132819106027. The next prime is 132819106067. The reversal of 132819106040 is 40601918231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1702529 + ... + 1778831.

It is an arithmetic number, because the mean of its divisors is an integer number (9339180390).

Almost surely, 2132819106040 is an apocalyptic number.

132819106040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132819106040 is an abundant number, since it is smaller than the sum of its proper divisors (166034666440).

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

132819106040 is a wasteful number, since it uses less digits than its factorization.

132819106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119831 (or 119827 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 132819106040 in words is "one hundred thirty-two billion, eight hundred nineteen million, one hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43517 76303 87034 152606 174068 217585 305212 348136 381515 435170 610424 763030 870340 1526060 1740680 3052120 3320477651 6640955302 13281910604 16602388255 26563821208 33204776510 66409553020 132819106040