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134550402480 = 2435513587907
BaseRepresentation
bin111110101001111010…
…1000011010110110000
3110212022001022122100000
41331103311003112300
54201024400334410
6141451150030000
712502166356614
oct1752365032660
9425261278300
10134550402480
115207621593a
12220b07a8300
13c8c3847990
146725975344
1537775aadc0
hex1f53d435b0

134550402480 has 480 divisors, whose sum is σ = 506064109824. Its totient is φ = 33027222528.

The previous prime is 134550402463. The next prime is 134550402491. The reversal of 134550402480 is 84204055431.

It is a happy number.

134550402480 is a `hidden beast` number, since 1 + 3 + 4 + 550 + 4 + 0 + 24 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 148346187 + ... + 148347093.

Almost surely, 2134550402480 is an apocalyptic number.

134550402480 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 134550402480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253032054912).

134550402480 is an abundant number, since it is smaller than the sum of its proper divisors (371513707344).

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

134550402480 is a wasteful number, since it uses less digits than its factorization.

134550402480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 134550402480 in words is "one hundred thirty-four billion, five hundred fifty million, four hundred two thousand, four hundred eighty".