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132256643323000 = 23537312134128559
BaseRepresentation
bin11110000100100101100110…
…001111101001010001111000
3122100021121111212112202210011
4132010211212033221101320
5114313343101142314000
61145141510240031304
736600140625362110
oct3604454617512170
9570247455482704
10132256643323000
1139160800261149
1212a00282302534
1358a499532aca1
142493381892040
1510454737022ba
hex7849663e9478

132256643323000 has 256 divisors, whose sum is σ = 365131365580800. Its totient is φ = 43878795840000.

The previous prime is 132256643322931. The next prime is 132256643323001. The reversal of 132256643323000 is 323346652231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132256643323001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4630982721 + ... + 4631011279.

It is an arithmetic number, because the mean of its divisors is an integer number (1426294396800).

Almost surely, 2132256643323000 is an apocalyptic number.

132256643323000 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 132256643323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182565682790400).

132256643323000 is an abundant number, since it is smaller than the sum of its proper divisors (232874722257800).

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

132256643323000 is a wasteful number, since it uses less digits than its factorization.

132256643323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49959 (or 49945 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 40.

Adding to 132256643323000 its reverse (323346652231), we get a palindrome (132579989975231).

The spelling of 132256643323000 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, six hundred forty-three million, three hundred twenty-three thousand".