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4686074640 = 2433513433881
BaseRepresentation
bin1000101110100111…
…11101001100010000
3110002120200020221000
410113103331030100
534044113342030
62052554502000
7224060656122
oct42723751420
913076606830
104686074640
111a95192265
12aa9434900
13598ac6640
14326505212
151c65e6860
hex1174fd310

4686074640 has 320 divisors, whose sum is σ = 17791361280. Its totient is φ = 1126379520.

The previous prime is 4686074639. The next prime is 4686074641. The reversal of 4686074640 is 464706864.

4686074640 is a `hidden beast` number, since 468 + 60 + 74 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4686074639) and next prime (4686074641).

It is a super-2 number, since 2×46860746402 = 43918591063302259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4686074641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205500 + ... + 1209380.

It is an arithmetic number, because the mean of its divisors is an integer number (55598004).

Almost surely, 24686074640 is an apocalyptic number.

4686074640 is a gapful number since it is divisible by the number (40) 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 4686074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895680640).

4686074640 is an abundant number, since it is smaller than the sum of its proper divisors (13105286640).

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

4686074640 is a wasteful number, since it uses less digits than its factorization.

4686074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4686074640 is about 68454.9095390535. The cubic root of 4686074640 is about 1673.4127254844.

The spelling of 4686074640 in words is "four billion, six hundred eighty-six million, seventy-four thousand, six hundred forty".