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5432861016792 = 233711103274069
BaseRepresentation
bin100111100001110111111…
…0000000100001011011000
3201020101011102111010000000
41033003233300010023120
51203002444410014132
615315453310213000
71100340234460626
oct117035760041330
921211142433000
105432861016792
111805077456180
12738b121b4160
13305416739631
1414ad47d3c516
15964c3ed287c
hex4f0efc042d8

5432861016792 has 256 divisors, whose sum is σ = 16828336512000. Its totient is φ = 1630331867520.

The previous prime is 5432861016773. The next prime is 5432861016833. The reversal of 5432861016792 is 2976101682345.

It is a happy number.

5432861016792 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 8 + 610 + 16 + 7 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19685934 + ... + 19960002.

It is an arithmetic number, because the mean of its divisors is an integer number (65735689500).

It is a 1-persistent number, because it is pandigital, but 2⋅5432861016792 = 10865722033584 is not.

Almost surely, 25432861016792 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 5432861016792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414168256000).

5432861016792 is an abundant number, since it is smaller than the sum of its proper divisors (11395475495208).

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

5432861016792 is a wasteful number, since it uses less digits than its factorization.

5432861016792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274210 (or 274188 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5432861016792 in words is "five trillion, four hundred thirty-two billion, eight hundred sixty-one million, sixteen thousand, seven hundred ninety-two".