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5006832590592 = 28357192383317
BaseRepresentation
bin100100011011011111001…
…1110100101111100000000
3122201122111202211200200000
41020312332132211330000
51124012443120344332
614352035050400000
71024505656552260
oct110667636457400
918648452750600
105006832590592
111660427518a48
1268a436130000
132a41b07b4091
14134490da57a0
158a38c4bcb7c
hex48dbe7a5f00

5006832590592 has 1728 divisors, whose sum is σ = 19079189176320. Its totient is φ = 1276651487232.

The previous prime is 5006832590587. The next prime is 5006832590597. The reversal of 5006832590592 is 2950952386005.

5006832590592 is a `hidden beast` number, since 500 + 6 + 8 + 32 + 59 + 0 + 59 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5006832590587) and next prime (5006832590597).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×50068325905923 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006832590597) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15794424418 + ... + 15794424734.

It is an arithmetic number, because the mean of its divisors is an integer number (11041197440).

Almost surely, 25006832590592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006832590592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539594588160).

5006832590592 is an abundant number, since it is smaller than the sum of its proper divisors (14072356585728).

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

5006832590592 is a wasteful number, since it uses less digits than its factorization.

5006832590592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 5006832590592 in words is "five trillion, six billion, eight hundred thirty-two million, five hundred ninety thousand, five hundred ninety-two".