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5761117716480 = 22135571719
BaseRepresentation
bin101001111010101110101…
…1000000000000000000000
3202101202110012101012200000
41103311131120000000000
51223342232113411410
620130342042400000
71133140603415040
oct123653530000000
922352405335600
105761117716480
111921304839145
12790662800000
1332a36a702c89
1415cba7b71720
159ecd7211dc0
hex53d5d600000

5761117716480 has 2112 divisors, whose sum is σ = 26381830325760. Its totient is φ = 1174136684544.

The previous prime is 5761117716427. The next prime is 5761117716509. The reversal of 5761117716480 is 846177111675.

5761117716480 is a `hidden beast` number, since 5 + 7 + 611 + 1 + 7 + 7 + 16 + 4 + 8 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 303216721911 + ... + 303216721929.

Almost surely, 25761117716480 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 5761117716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190915162880).

5761117716480 is an abundant number, since it is smaller than the sum of its proper divisors (20620712609280).

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

5761117716480 is an frugal number, since it uses more digits than its factorization.

5761117716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 5761117716480 in words is "five trillion, seven hundred sixty-one billion, one hundred seventeen million, seven hundred sixteen thousand, four hundred eighty".