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4054698648 = 23347211131947
BaseRepresentation
bin1111000110101101…
…1100101010011000
3101110120122000220000
43301223130222120
531301000324043
61510202133000
7202323240600
oct36153345230
911416560800
104054698648
1117a0854120
12951ab1160
134c8063690
142a6711c00
1518ae7c2d3
hexf1adca98

4054698648 has 960 divisors, whose sum is σ = 16685222400. Its totient is φ = 901393920.

The previous prime is 4054698619. The next prime is 4054698689. The reversal of 4054698648 is 8468964504.

4054698648 is a `hidden beast` number, since 4 + 0 + 546 + 98 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×40546986482 = 32881162252186055808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4054698594 and 4054698603.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 86270161 + ... + 86270207.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 24054698648 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 4054698648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342611200).

4054698648 is an abundant number, since it is smaller than the sum of its proper divisors (12630523752).

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

4054698648 is a wasteful number, since it uses less digits than its factorization.

4054698648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4054698648 is about 63676.5156710070. The cubic root of 4054698648 is about 1594.6040425256.

The spelling of 4054698648 in words is "four billion, fifty-four million, six hundred ninety-eight thousand, six hundred forty-eight".