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4025818368 = 283311134073
BaseRepresentation
bin1110111111110101…
…0001110100000000
3101101120021202121000
43233331101310000
531221102141433
61503251132000
7201522614535
oct35775216400
911346252530
104025818368
111786518a20
129442a4000
134c2091260
142a2954d8c
15188675113
hexeff51d00

4025818368 has 288 divisors, whose sum is σ = 13989790080. Its totient is φ = 1125826560.

The previous prime is 4025818327. The next prime is 4025818373. The reversal of 4025818368 is 8638185204.

4025818368 is a `hidden beast` number, since 4 + 0 + 2 + 581 + 8 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 986380 + ... + 990452.

It is an arithmetic number, because the mean of its divisors is an integer number (48575660).

Almost surely, 24025818368 is an apocalyptic number.

4025818368 is a gapful number since it is divisible by the number (48) 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 4025818368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994895040).

4025818368 is an abundant number, since it is smaller than the sum of its proper divisors (9963971712).

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

4025818368 is a wasteful number, since it uses less digits than its factorization.

4025818368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4025818368 is about 63449.3370178129. The cubic root of 4025818368 is about 1590.8090720357.

The spelling of 4025818368 in words is "four billion, twenty-five million, eight hundred eighteen thousand, three hundred sixty-eight".