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4054768536 = 2337137179331
BaseRepresentation
bin1111000110101110…
…1101101110011000
3101110120202120202110
43301223231232120
531301010043121
61510203432320
7202323651420
oct36153555630
911416676673
104054768536
1117a08a1685
12951b256a0
134c8089430
142a672d480
1518ae92d76
hexf1aedb98

4054768536 has 256 divisors, whose sum is σ = 12850790400. Its totient is φ = 1037836800.

The previous prime is 4054768519. The next prime is 4054768559. The reversal of 4054768536 is 6358674504.

It is a super-2 number, since 2×40547685362 = 32882295761071166592, which contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12249891 + ... + 12250221.

It is an arithmetic number, because the mean of its divisors is an integer number (50198400).

Almost surely, 24054768536 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 4054768536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425395200).

4054768536 is an abundant number, since it is smaller than the sum of its proper divisors (8796021864).

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

4054768536 is a wasteful number, since it uses less digits than its factorization.

4054768536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 4054768536 is about 63677.0644423877. The cubic root of 4054768536 is about 1594.6132041639.

The spelling of 4054768536 in words is "four billion, fifty-four million, seven hundred sixty-eight thousand, five hundred thirty-six".