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5412371083776 = 2938612433
BaseRepresentation
bin100111011000010101001…
…1101001011001000000000
3201011102021110001200000000
41032300222131023020000
51202134013444140101
615302224200000000
71066013413065606
oct116605235131000
921142243050000
105412371083776
1117a7412416238
12734b54160000
133034cc6c2b07
14149d62961876
1595bc523b486
hex4ec2a74b200

5412371083776 has 540 divisors, whose sum is σ = 16528785218946. Its totient is φ = 1770449633280.

The previous prime is 5412371083747. The next prime is 5412371083799. The reversal of 5412371083776 is 6773801732145.

5412371083776 is a `hidden beast` number, since 541 + 2 + 3 + 7 + 10 + 83 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 643563346176 + 4768807737600 = 802224^2 + 2183760^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12499702056 + ... + 12499702488.

Almost surely, 25412371083776 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 5412371083776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264392609473).

5412371083776 is an abundant number, since it is smaller than the sum of its proper divisors (11116414135170).

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

5412371083776 is an frugal number, since it uses more digits than its factorization.

5412371083776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 5412371083776 in words is "five trillion, four hundred twelve billion, three hundred seventy-one million, eighty-three thousand, seven hundred seventy-six".