Search a number
-
+
26956114224 = 2431346792503
BaseRepresentation
bin11001000110101101…
…011010100100110000
32120120121200111001220
4121012231122210300
5420201231123344
620214455025040
71642666122204
oct310655324460
976517614056
1026956114224
1110483029656
12528366b180
132707886460
14143a09ab04
15a7b7b6c19
hex646b5a930

26956114224 has 80 divisors (see below), whose sum is σ = 75154689792. Its totient is φ = 8276338944.

The previous prime is 26956114223. The next prime is 26956114279. The reversal of 26956114224 is 42241165962.

It is not an unprimeable number, because it can be changed into a prime (26956114223) 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, 245157 + ... + 337659.

Almost surely, 226956114224 is an apocalyptic number.

26956114224 is a gapful number since it is divisible by the number (24) 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 26956114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37577344896).

26956114224 is an abundant number, since it is smaller than the sum of its proper divisors (48198575568).

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

26956114224 is a wasteful number, since it uses less digits than its factorization.

26956114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92994 (or 92988 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 26956114224 in words is "twenty-six billion, nine hundred fifty-six million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 467 624 934 1401 1868 2802 3736 5604 6071 7472 11208 12142 18213 22416 24284 36426 48568 72852 92503 97136 145704 185006 277509 291408 370012 555018 740024 1110036 1202539 1480048 2220072 2405078 3607617 4440144 4810156 7215234 9620312 14430468 19240624 28860936 43198901 57721872 86397802 129596703 172795604 259193406 345591208 518386812 561585713 691182416 1036773624 1123171426 1684757139 2073547248 2246342852 3369514278 4492685704 6739028556 8985371408 13478057112 26956114224