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4054034556 = 2233111323101113
BaseRepresentation
bin1111000110100011…
…1010100001111100
3101110112101021221000
43301220322201330
531300313101211
61510140010300
7202314503505
oct36150724174
911415337830
104054034556
1117a0440190
12951830990
134c7b90320
142a65bbbac
1518ad9a656
hexf1a3a87c

4054034556 has 384 divisors, whose sum is σ = 13127546880. Its totient is φ = 1064448000.

The previous prime is 4054034477. The next prime is 4054034623. The reversal of 4054034556 is 6554304504.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4054034556.

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 127 ways as a sum of consecutive naturals, for example, 35876356 + ... + 35876468.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 24054034556 is an apocalyptic number.

4054034556 is a gapful number since it is divisible by the number (46) 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 4054034556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440).

4054034556 is an abundant number, since it is smaller than the sum of its proper divisors (9073512324).

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

4054034556 is a wasteful number, since it uses less digits than its factorization.

4054034556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4054034556 is about 63671.3008819515. The cubic root of 4054034556 is about 1594.5169812585.

The spelling of 4054034556 in words is "four billion, fifty-four million, thirty-four thousand, five hundred fifty-six".