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5360414976 = 2833741719
BaseRepresentation
bin1001111111000000…
…10111000100000000
3111211120120021222000
410333200113010000
541434231234401
62243524144000
7246556530000
oct47740270400
914746507860
105360414976
1123008a6124
121057238000
136757204a7
1438bcc0000
152158eb186
hex13f817100

5360414976 has 720 divisors, whose sum is σ = 20610878400. Its totient is φ = 1365590016.

The previous prime is 5360414963. The next prime is 5360414999. The reversal of 5360414976 is 6794140635.

5360414976 is a `hidden beast` number, since 536 + 0 + 4 + 1 + 49 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282127095 + ... + 282127113.

It is an arithmetic number, because the mean of its divisors is an integer number (28626220).

Almost surely, 25360414976 is an apocalyptic number.

5360414976 is a gapful number since it is divisible by the number (56) 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 5360414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305439200).

5360414976 is an abundant number, since it is smaller than the sum of its proper divisors (15250463424).

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

5360414976 is an equidigital number, since it uses as much as digits as its factorization.

5360414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5360414976 is about 73214.8548861500. The cubic root of 5360414976 is about 1750.1131873457.

The spelling of 5360414976 in words is "five billion, three hundred sixty million, four hundred fourteen thousand, nine hundred seventy-six".