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5354691568128 = 293272923112477
BaseRepresentation
bin100110111101011110001…
…1111010010001000000000
3200221220101122212200100200
41031322330133102020000
51200212402020140003
615215524503445200
71061602151226450
oct115727437221000
920856348780320
105354691568128
111784a03880441
12725937456800
132cac399307b6
1414725034dd60
159444b5a46a3
hex4debc7d2200

5354691568128 has 480 divisors, whose sum is σ = 18286027119360. Its totient is φ = 1475921018880.

The previous prime is 5354691568067. The next prime is 5354691568159. The reversal of 5354691568128 is 8218651964535.

5354691568128 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 69 + 1 + 568 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2161763626 + ... + 2161766102.

It is an arithmetic number, because the mean of its divisors is an integer number (38095889832).

Almost surely, 25354691568128 is an apocalyptic number.

5354691568128 is a gapful number since it is divisible by the number (58) 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 5354691568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143013559680).

5354691568128 is an abundant number, since it is smaller than the sum of its proper divisors (12931335551232).

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

5354691568128 is a wasteful number, since it uses less digits than its factorization.

5354691568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4829 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 5354691568128 in words is "five trillion, three hundred fifty-four billion, six hundred ninety-one million, five hundred sixty-eight thousand, one hundred twenty-eight".