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4234641264 = 24327191271741
BaseRepresentation
bin1111110001100111…
…0111111101110000
3101221010020001202100
43330121313331300
532133032010024
61540111020400
7206636566620
oct37431677560
911833201670
104234641264
111883387727
129a220a700
135264173b9
142c2592880
1519bb737c9
hexfc677f70

4234641264 has 240 divisors, whose sum is σ = 14377492480. Its totient is φ = 1136540160.

The previous prime is 4234641263. The next prime is 4234641293. The reversal of 4234641264 is 4621464324.

4234641264 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 641 + 2 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234641263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2431434 + ... + 2433174.

Almost surely, 24234641264 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 4234641264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188746240).

4234641264 is an abundant number, since it is smaller than the sum of its proper divisors (10142851216).

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

4234641264 is a wasteful number, since it uses less digits than its factorization.

4234641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1899 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 4234641264 is about 65074.1213079362. The cubic root of 4234641264 is about 1617.8523163310.

The spelling of 4234641264 in words is "four billion, two hundred thirty-four million, six hundred forty-one thousand, two hundred sixty-four".