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132448903631856 = 2436723914814583
BaseRepresentation
bin11110000111011000101001…
…110110100001001111110000
3122100221222202211020102000000
4132013120221312201033300
5114330020323312204411
61145410104125430000
736620055206134650
oct3607305166411760
9570858684212000
10132448903631856
11392252a0189889
1212a31599a0b300
1358b9b55018a56
14249c7bdaaa360
15104a477449956
hex787629da13f0

132448903631856 has 560 divisors, whose sum is σ = 441952807495680. Its totient is φ = 37650544727040.

The previous prime is 132448903631851. The next prime is 132448903631873. The reversal of 132448903631856 is 658136309844231.

132448903631856 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 4 + 8 + 90 + 363 + 185 + 6 = 666.

132448903631856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 132448903631793 and 132448903631802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132448903631851) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28900042141 + ... + 28900046723.

Almost surely, 2132448903631856 is an apocalyptic number.

132448903631856 is a gapful number since it is divisible by the number (16) 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 132448903631856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220976403747840).

132448903631856 is an abundant number, since it is smaller than the sum of its proper divisors (309503903863824).

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

132448903631856 is a wasteful number, since it uses less digits than its factorization.

132448903631856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 132448903631856 in words is "one hundred thirty-two trillion, four hundred forty-eight billion, nine hundred three million, six hundred thirty-one thousand, eight hundred fifty-six".