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5351215104000 = 21534531272
BaseRepresentation
bin100110111011110110101…
…0001101000000000000000
3200221120102101022000010000
41031313231101220000000
51200133242031312000
615214151515040000
71061420045613513
oct115675521500000
920846371260100
105351215104000
11178348a469497
12725127140000
132ca804614b2c
1414700075ad7a
15942e6296000
hex4dded468000

5351215104000 has 960 divisors, whose sum is σ = 20110537495620. Its totient is φ = 1415754547200.

The previous prime is 5351215103963. The next prime is 5351215104019. The reversal of 5351215104000 is 4015121535.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5351215104000 is a `hidden beast` number, since 5 + 35 + 1 + 215 + 10 + 400 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3617421410304 + 1733793693696 = 1901952^2 + 1316736^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 42135551937 + ... + 42135552063.

Almost surely, 25351215104000 is an apocalyptic number.

5351215104000 is a gapful number since it is divisible by the number (50) 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 5351215104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055268747810).

5351215104000 is an abundant number, since it is smaller than the sum of its proper divisors (14759322391620).

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

5351215104000 is an frugal number, since it uses more digits than its factorization.

5351215104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 5351215104000 in words is "five trillion, three hundred fifty-one billion, two hundred fifteen million, one hundred four thousand".