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49327030680480 = 253357231411391319
BaseRepresentation
bin10110011011100110110000…
…01001000011101110100000
320110122121200120122201011000
423031303120021003232200
522431133224323233410
6252524305225152000
713250521542532200
oct1315633011035640
9213577616581130
1049327030680480
1114798526958853
125647aaa92b600
13216a699419537
14c27626250400
155a8198b9cdc0
hex2cdcd8243ba0

49327030680480 has 2304 divisors, whose sum is σ = 214056235008000. Its totient is φ = 10560330547200.

The previous prime is 49327030680463. The next prime is 49327030680569. The reversal of 49327030680480 is 8408603072394.

49327030680480 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 70 + 30 + 68 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37397293261 + ... + 37397294579.

It is an arithmetic number, because the mean of its divisors is an integer number (92906352000).

Almost surely, 249327030680480 is an apocalyptic number.

49327030680480 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 49327030680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107028117504000).

49327030680480 is an abundant number, since it is smaller than the sum of its proper divisors (164729204327520).

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

49327030680480 is a wasteful number, since it uses less digits than its factorization.

49327030680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 49327030680480 in words is "forty-nine trillion, three hundred twenty-seven billion, thirty million, six hundred eighty thousand, four hundred eighty".