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132355962648 = 233271329719811
BaseRepresentation
bin111101101000100000…
…1111011011100011000
3110122122010002112210200
41323101001323130120
54132031111301043
6140445315342200
712363622056060
oct1732101733430
9418563075720
10132355962648
115114a5437a8
12217998b1960
13c634012080
1465983443a0
153699adb7d3
hex1ed107b718

132355962648 has 384 divisors, whose sum is σ = 462875212800. Its totient is φ = 33225292800.

The previous prime is 132355962553. The next prime is 132355962653. The reversal of 132355962648 is 846269553231.

It is a happy number.

132355962648 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 5 + 9 + 626 + 4 + 8 = 666.

132355962648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132355962594 and 132355962603.

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 95 ways as a sum of consecutive naturals, for example, 13485663 + ... + 13495473.

It is an arithmetic number, because the mean of its divisors is an integer number (1205404200).

Almost surely, 2132355962648 is an apocalyptic number.

132355962648 is a gapful number since it is divisible by the number (18) 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 132355962648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231437606400).

132355962648 is an abundant number, since it is smaller than the sum of its proper divisors (330519250152).

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

132355962648 is a wasteful number, since it uses less digits than its factorization.

132355962648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9936 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 132355962648 in words is "one hundred thirty-two billion, three hundred fifty-five million, nine hundred sixty-two thousand, six hundred forty-eight".