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4054630016 = 27172118831
BaseRepresentation
bin1111000110101100…
…1011111010000000
3101110120111112202002
43301223023322000
531300441130031
61510200443132
7202322533523
oct36153137200
911416445662
104054630016
1117a08075a8
12951a794a8
134c803b378
142a66d4bba
1518ae66ccb
hexf1acbe80

4054630016 has 64 divisors (see below), whose sum is σ = 8594242560. Its totient is φ = 1898803200.

The previous prime is 4054629977. The next prime is 4054630057. The reversal of 4054630016 is 6100364504.

It is a happy number.

4054630016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454721 + ... + 463551.

It is an arithmetic number, because the mean of its divisors is an integer number (134285040).

Almost surely, 24054630016 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 4054630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297121280).

4054630016 is an abundant number, since it is smaller than the sum of its proper divisors (4539612544).

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

4054630016 is a wasteful number, since it uses less digits than its factorization.

4054630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9073 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 4054630016 is about 63675.9767573298. The cubic root of 4054630016 is about 1594.5950454343.

The spelling of 4054630016 in words is "four billion, fifty-four million, six hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 211 272 422 544 844 1088 1688 2176 3376 3587 6752 7174 8831 13504 14348 17662 27008 28696 35324 57392 70648 114784 141296 150127 229568 282592 300254 459136 565184 600508 1130368 1201016 1863341 2402032 3726682 4804064 7453364 9608128 14906728 19216256 29813456 31676797 59626912 63353594 119253824 126707188 238507648 253414376 506828752 1013657504 2027315008 4054630016