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4042246656 = 29371947421
BaseRepresentation
bin1111000011101111…
…1100101000000000
3101102201012101222010
43300323330220000
531234303343111
61505035212520
7202112346450
oct36073745000
911381171863
104042246656
111794819818
129498a7140
134c55c3a36
142a4bcdd60
15189d1caa6
hexf0efca00

4042246656 has 320 divisors, whose sum is σ = 13262008320. Its totient is φ = 1068318720.

The previous prime is 4042246627. The next prime is 4042246669. The reversal of 4042246656 is 6566422404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9601326 + ... + 9601746.

It is an arithmetic number, because the mean of its divisors is an integer number (41443776).

Almost surely, 24042246656 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 4042246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631004160).

4042246656 is an abundant number, since it is smaller than the sum of its proper divisors (9219761664).

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

4042246656 is a wasteful number, since it uses less digits than its factorization.

4042246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 4042246656 is about 63578.6651008025. The cubic root of 4042246656 is about 1592.9700240532.

It can be divided in two parts, 40422 and 46656, that added together give a palindrome (87078).

The spelling of 4042246656 in words is "four billion, forty-two million, two hundred forty-six thousand, six hundred fifty-six".