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132252005563020 = 223457193325718553
BaseRepresentation
bin11110000100100001010001…
…110011111111101010001100
3122100021011112122210011010000
4132010201101303333222030
5114313304101411004040
61145135422124444300
736566614662151020
oct3604412163775214
9570234478704100
10132252005563020
1139159840379462
12129bb3a90a9690
1358a440654c905
142493061966380
1510452a14a1130
hex784851cffa8c

132252005563020 has 480 divisors, whose sum is σ = 476776685202048. Its totient is φ = 30061549191168.

The previous prime is 132252005563001. The next prime is 132252005563091. The reversal of 132252005563020 is 20365500252231.

132252005563020 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 52 + 0 + 0 + 556 + 30 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7128326064 + ... + 7128344616.

Almost surely, 2132252005563020 is an apocalyptic number.

132252005563020 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 132252005563020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238388342601024).

132252005563020 is an abundant number, since it is smaller than the sum of its proper divisors (344524679639028).

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

132252005563020 is a wasteful number, since it uses less digits than its factorization.

132252005563020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22031 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 132252005563020 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, five million, five hundred sixty-three thousand, twenty".