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132397834566360 = 2335111943675213517
BaseRepresentation
bin11110000110101001000101…
…111001011111101011011000
3122100210002221201210002012210
4132012221011321133223120
5114323201231122110420
61145330420414235120
736613266523216116
oct3606510571375330
9570702851702183
10132397834566360
1139205674010030
1212a23706ab5aa0
1358b50a69397bc
14249a1373b0ab6
151048e88cce9e0
hex786a45e5fad8

132397834566360 has 1024 divisors, whose sum is σ = 474724526284800. Its totient is φ = 29192273510400.

The previous prime is 132397834566331. The next prime is 132397834566391. The reversal of 132397834566360 is 63665438793231.

It is a super-2 number, since 2×1323978345663602 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 132397834566291 and 132397834566300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37645103322 + ... + 37645106838.

It is an arithmetic number, because the mean of its divisors is an integer number (463598170200).

It is a 1-persistent number, because it is pandigital, but 2⋅132397834566360 = 264795669132720 is not.

Almost surely, 2132397834566360 is an apocalyptic number.

132397834566360 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 132397834566360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237362263142400).

132397834566360 is an abundant number, since it is smaller than the sum of its proper divisors (342326691718440).

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

132397834566360 is a wasteful number, since it uses less digits than its factorization.

132397834566360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 66.

The spelling of 132397834566360 in words is "one hundred thirty-two trillion, three hundred ninety-seven billion, eight hundred thirty-four million, five hundred sixty-six thousand, three hundred sixty".