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4796814821040 = 243251141103143419
BaseRepresentation
bin100010111001101100001…
…1100011000011010110000
3121222120102021100120210200
41011303120130120122300
51112042334043233130
614111343140555200
71003362354144114
oct105633034303260
917876367316720
104796814821040
11158a354a06260
126557a36b2b00
1328a450bc5618
1412824a657744
1584b9982a760
hex45cd87186b0

4796814821040 has 480 divisors, whose sum is σ = 18177321576960. Its totient is φ = 1123479244800.

The previous prime is 4796814820991. The next prime is 4796814821077. The reversal of 4796814821040 is 401284186974.

4796814821040 is a `hidden beast` number, since 4 + 79 + 6 + 81 + 482 + 10 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33374451 + ... + 33517869.

It is an arithmetic number, because the mean of its divisors is an integer number (37869419952).

Almost surely, 24796814821040 is an apocalyptic number.

4796814821040 is a gapful number since it is divisible by the number (40) 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 4796814821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088660788480).

4796814821040 is an abundant number, since it is smaller than the sum of its proper divisors (13380506755920).

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

4796814821040 is a wasteful number, since it uses less digits than its factorization.

4796814821040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143593 (or 143584 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4796814821040 in words is "four trillion, seven hundred ninety-six billion, eight hundred fourteen million, eight hundred twenty-one thousand, forty".