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59012196096 = 283741793389
BaseRepresentation
bin110110111101011001…
…101010011100000000
312122022122212011112110
4312331121222130000
51431324110233341
643035420055320
74156243250640
oct667531523400
9178278764473
1059012196096
11230329343a7
12b52b094540
135745c00339
142bdb5dc520
151805b80216
hexdbd66a700

59012196096 has 288 divisors, whose sum is σ = 186255820800. Its totient is φ = 16236380160.

The previous prime is 59012196073. The next prime is 59012196151. The reversal of 59012196096 is 69069121095.

59012196096 is digitally balanced in base 2, 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17411170 + ... + 17414558.

It is an arithmetic number, because the mean of its divisors is an integer number (646721600).

Almost surely, 259012196096 is an apocalyptic number.

59012196096 is a gapful number since it is divisible by the number (56) 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 59012196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93127910400).

59012196096 is an abundant number, since it is smaller than the sum of its proper divisors (127243624704).

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

59012196096 is a wasteful number, since it uses less digits than its factorization.

59012196096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 48.

The spelling of 59012196096 in words is "fifty-nine billion, twelve million, one hundred ninety-six thousand, ninety-six".