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132463838614680 = 233451929284326099
BaseRepresentation
bin11110000111100110100100…
…000010111101010010011000
3122101000102022200001010220000
4132013212210002331102120
5114330241420141132210
61145421014122133000
736621124256322636
oct3607464402752230
9571012280033800
10132463838614680
11392306646334a1
1212a34467651160
1358bb39524c2b1
14249d3d9408356
15104aa4d6b9ac0
hex7879a40bd498

132463838614680 has 640 divisors, whose sum is σ = 485008365600000. Its totient is φ = 32297996215296.

The previous prime is 132463838614673. The next prime is 132463838614739. The reversal of 132463838614680 is 86416838364231.

It is a happy number.

132463838614680 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 6 + 3 + 8 + 3 + 8 + 614 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5075424271 + ... + 5075450369.

It is an arithmetic number, because the mean of its divisors is an integer number (757825571250).

Almost surely, 2132463838614680 is an apocalyptic number.

132463838614680 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 132463838614680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242504182800000).

132463838614680 is an abundant number, since it is smaller than the sum of its proper divisors (352544526985320).

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

132463838614680 is a wasteful number, since it uses less digits than its factorization.

132463838614680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29013 (or 29000 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 132463838614680 in words is "one hundred thirty-two trillion, four hundred sixty-three billion, eight hundred thirty-eight million, six hundred fourteen thousand, six hundred eighty".