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4246116424 = 2311673372137
BaseRepresentation
bin1111110100010110…
…1001100001001000
3101221220211001201021
43331011221201020
532144001211144
61541201002224
7210136252114
oct37505514110
911856731637
104246116424
111889905130
129a6023374
13528904534
142c3cdc744
1519cb8d884
hexfd169848

4246116424 has 64 divisors (see below), whose sum is σ = 8845162560. Its totient is φ = 1894717440.

The previous prime is 4246116421. The next prime is 4246116437.

4246116424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4246116424.

It is not an unprimeable number, because it can be changed into a prime (4246116421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1985884 + ... + 1988020.

It is an arithmetic number, because the mean of its divisors is an integer number (138205665).

Almost surely, 24246116424 is an apocalyptic number.

4246116424 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 4246116424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422581280).

4246116424 is an abundant number, since it is smaller than the sum of its proper divisors (4599046136).

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

4246116424 is a wasteful number, since it uses less digits than its factorization.

4246116424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2554 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 4246116424 is about 65162.2315762743. The cubic root of 4246116424 is about 1619.3123668046.

It can be divided in two parts, 42461 and 16424, that added together give a palindrome (58885).

The spelling of 4246116424 in words is "four billion, two hundred forty-six million, one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 337 536 674 737 1348 1474 2137 2696 2948 3707 4274 5896 7414 8548 14828 17096 22579 23507 29656 45158 47014 90316 94028 143179 180632 188056 248369 286358 496738 572716 720169 993476 1145432 1440338 1574969 1986952 2880676 3149938 5761352 6299876 7921859 12599752 15843718 31687436 48251323 63374872 96502646 193005292 386010584 530764553 1061529106 2123058212 4246116424