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59319000216 = 2335731140617
BaseRepresentation
bin110111001111101100…
…000001110010011000
312200010001011102200000
4313033230001302120
51432441131001331
643130100013000
74166660116410
oct671754016230
9180101142600
1059319000216
1123180035923
12b5b5991160
135794641138
142c2a263640
151822a850e6
hexdcfb01c98

59319000216 has 192 divisors, whose sum is σ = 196550215680. Its totient is φ = 16401450240.

The previous prime is 59319000187. The next prime is 59319000229. The reversal of 59319000216 is 61200091395.

59319000216 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351540 + ... + 492156.

It is an arithmetic number, because the mean of its divisors is an integer number (1023699040).

Almost surely, 259319000216 is an apocalyptic number.

59319000216 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 59319000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98275107840).

59319000216 is an abundant number, since it is smaller than the sum of its proper divisors (137231215464).

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

59319000216 is a wasteful number, since it uses less digits than its factorization.

59319000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140676 (or 140660 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

It can be divided in two parts, 59319000 and 216, that multiplied together give a cube (12812904000 = 23403).

The spelling of 59319000216 in words is "fifty-nine billion, three hundred nineteen million, two hundred sixteen", and thus it is an aban number.