Search a number
-
+
268436222464 = 29432283553
BaseRepresentation
bin1111101000000000001…
…0111011001000000000
3221122212210002222212111
43322000002323020000
513344224133104324
6323152355505104
725252046146324
oct3720002731000
9848783088774
10268436222464
11a3930282043
12440368b8194
131c40c7a4077
14cdc7151984
156eb163d794
hex3e800bb200

268436222464 has 60 divisors (see below), whose sum is σ = 549113379606. Its totient is φ = 131096297472.

The previous prime is 268436222449. The next prime is 268436222477. The reversal of 268436222464 is 464222634862.

It can be written as a sum of positive squares in only one way, i.e., 145801785600 + 122634436864 = 381840^2 + 350192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 804912 + ... + 1088464.

Almost surely, 2268436222464 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 268436222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274556689803).

268436222464 is an abundant number, since it is smaller than the sum of its proper divisors (280677157142).

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

268436222464 is an frugal number, since it uses more digits than its factorization.

268436222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283657 (or 283598 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 49.

The spelling of 268436222464 in words is "two hundred sixty-eight billion, four hundred thirty-six million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 1849 2752 3698 5504 7396 11008 14792 22016 29584 59168 118336 236672 283553 473344 567106 946688 1134212 2268424 4536848 9073696 12192779 18147392 24385558 36294784 48771116 72589568 97542232 145179136 195084464 390168928 524289497 780337856 1048578994 1560675712 2097157988 3121351424 4194315976 6242702848 8388631952 16777263904 33554527808 67109055616 134218111232 268436222464