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5274929381760 = 27355436167193
BaseRepresentation
bin100110011000010101001…
…0010101100000110000000
3200200021111220020210100000
41030300222102230012000
51142411023410204020
615115134043200000
71053046444643163
oct114605222540600
920607456223300
105274929381760
1117540a3134255
12712397216000
132c3567b6260c
14143444ddbada
159232de0e090
hex4cc2a4ac180

5274929381760 has 1536 divisors, whose sum is σ = 20042312209920. Its totient is φ = 1324343623680.

The previous prime is 5274929381753. The next prime is 5274929381791. The reversal of 5274929381760 is 671839294725.

5274929381760 is a `hidden beast` number, since 5 + 2 + 7 + 492 + 9 + 3 + 81 + 7 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27331240224 + ... + 27331240416.

It is an arithmetic number, because the mean of its divisors is an integer number (13048380345).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5274929381760 = 10549858763520, but 3⋅5274929381760 = 15824788145280 is not.

Almost surely, 25274929381760 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 5274929381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021156104960).

5274929381760 is an abundant number, since it is smaller than the sum of its proper divisors (14767382828160).

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

5274929381760 is a wasteful number, since it uses less digits than its factorization.

5274929381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5274929381760 in words is "five trillion, two hundred seventy-four billion, nine hundred twenty-nine million, three hundred eighty-one thousand, seven hundred sixty".