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132355064252240 = 2451654438303153
BaseRepresentation
bin11110000110000001010000…
…100101101100011101010000
3122100122000112222220000011122
4132012001100211230131100
5114322001132422032430
61145255024354101412
736610223606436554
oct3606012045543520
9570560488800148
10132355064252240
113919951630aa95
1212a1736b27a868
1358b104b95201b
14249803ad09864
151047cd3ec3ee5
hex78605096c750

132355064252240 has 20 divisors (see below), whose sum is σ = 307725524386644. Its totient is φ = 52942025700864.

The previous prime is 132355064252231. The next prime is 132355064252347. The reversal of 132355064252240 is 42252460553231.

It can be written as a sum of positive squares in 2 ways, for example, as 103068870416656 + 29286193835584 = 10152284^2 + 5411672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 132355064252191 and 132355064252200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 827219151497 + ... + 827219151656.

Almost surely, 2132355064252240 is an apocalyptic number.

132355064252240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132355064252240 is an abundant number, since it is smaller than the sum of its proper divisors (175370460134404).

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

132355064252240 is a wasteful number, since it uses less digits than its factorization.

132355064252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654438303166 (or 1654438303160 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 132355064252240 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, sixty-four million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1654438303153 3308876606306 6617753212612 8272191515765 13235506425224 16544383031530 26471012850448 33088766063060 66177532126120 132355064252240