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5077731003072 = 2637213371122089
BaseRepresentation
bin100100111100100000001…
…0110100100101011000000
3122222102111210201012202220
41021321000112210223000
51131143143114044242
614444402153411040
71032565623246300
oct111710026445300
918872453635686
105077731003072
1116884a9858672
126a0121a09a80
132aaa9c0ba640
14137a99043600
158c13b8e4bec
hex49e405a4ac0

5077731003072 has 336 divisors, whose sum is σ = 17285338637280. Its totient is φ = 1302986539008.

The previous prime is 5077731003047. The next prime is 5077731003089. The reversal of 5077731003072 is 2703001377705.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3964204 + ... + 5086292.

It is an arithmetic number, because the mean of its divisors is an integer number (51444460230).

Almost surely, 25077731003072 is an apocalyptic number.

5077731003072 is a gapful number since it is divisible by the number (52) 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 5077731003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642669318640).

5077731003072 is an abundant number, since it is smaller than the sum of its proper divisors (12207607634208).

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

5077731003072 is a wasteful number, since it uses less digits than its factorization.

5077731003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122168 (or 1122151 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 42.

The spelling of 5077731003072 in words is "five trillion, seventy-seven billion, seven hundred thirty-one million, three thousand, seventy-two".