Search a number
-
+
26222113296 = 24321932234231
BaseRepresentation
bin11000011010111101…
…011011001000010000
32111200110112101002100
4120122331123020100
5412200330111141
620013554520400
71615544166621
oct303275331020
974613471070
1026222113296
1110136776915
1250b9896100
13261b7a0c92
1413aa7d1a48
15a3712a0b6
hex61af5b210

26222113296 has 120 divisors (see below), whose sum is σ = 74114034176. Its totient is φ = 8654376960.

The previous prime is 26222113279. The next prime is 26222113303. The reversal of 26222113296 is 69231122262.

26222113296 is a `hidden beast` number, since 2 + 622 + 2 + 1 + 1 + 3 + 29 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 26222113296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6195501 + ... + 6199731.

Almost surely, 226222113296 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 26222113296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37057017088).

26222113296 is an abundant number, since it is smaller than the sum of its proper divisors (47891920880).

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

26222113296 is a wasteful number, since it uses less digits than its factorization.

26222113296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4652 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 26222113296 in words is "twenty-six billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 223 386 446 579 669 772 892 1158 1338 1544 1737 1784 2007 2316 2676 3088 3474 3568 4014 4231 4632 5352 6948 8028 8462 9264 10704 12693 13896 16056 16924 25386 27792 32112 33848 38079 43039 50772 67696 76158 86078 101544 129117 152316 172156 203088 258234 304632 344312 387351 516468 609264 688624 774702 816583 943513 1032936 1549404 1633166 1887026 2065872 2449749 2830539 3098808 3266332 3774052 4899498 5661078 6197616 6532664 7349247 7548104 8491617 9798996 11322156 13065328 14698494 15096208 16983234 19597992 22644312 29396988 33966468 39195984 45288624 58793976 67932936 117587952 135865872 182098009 364196018 546294027 728392036 1092588054 1456784072 1638882081 2185176108 2913568144 3277764162 4370352216 6555528324 8740704432 13111056648 26222113296