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4025666304 = 2836113753
BaseRepresentation
bin1110111111110010…
…1100101100000000
3101101120000001000000
43233330230230000
531221032310204
61503244000000
7201521412312
oct35774545400
911346001000
104025666304
111786424750
12944230000
134c2039c8a
142a29157b2
15188645039
hexeff2cb00

4025666304 has 504 divisors, whose sum is σ = 13753070352. Its totient is φ = 1164533760.

The previous prime is 4025666297. The next prime is 4025666311. The reversal of 4025666304 is 4036665204.

It is an interprime number because it is at equal distance from previous prime (4025666297) and next prime (4025666311).

It is a super-2 number, since 2×40256663042 = 32411978382322040832, which contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 75955942 + ... + 75955994.

It is an arithmetic number, because the mean of its divisors is an integer number (27287838).

Almost surely, 24025666304 is an apocalyptic number.

4025666304 is a gapful number since it is divisible by the number (44) 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 4025666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876535176).

4025666304 is an abundant number, since it is smaller than the sum of its proper divisors (9727404048).

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

4025666304 is an equidigital number, since it uses as much as digits as its factorization.

4025666304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4025666304 is about 63448.1386961036. The cubic root of 4025666304 is about 1590.7890423328.

The spelling of 4025666304 in words is "four billion, twenty-five million, six hundred sixty-six thousand, three hundred four".