Search a number
-
+
22026831857856 = 26367591279001
BaseRepresentation
bin1010000001000100001010…
…11111010000100011000000
32212222202002210011222000000
411000202011133100203000
510341341422423422411
6114502553055000000
74432246266402540
oct500420537204300
985882083158000
1022026831857856
117022588388861
122578b45509000
13c3a176747177
145621664a1320
15282e7d783956
hex1408857d08c0

22026831857856 has 784 divisors, whose sum is σ = 76773987655680. Its totient is φ = 6137316864000.

The previous prime is 22026831857843. The next prime is 22026831857873. The reversal of 22026831857856 is 65875813862022.

22026831857856 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 6 + 8 + 3 + 1 + 8 + 578 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 22026831857793 and 22026831857802.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2447149356 + ... + 2447158356.

Almost surely, 222026831857856 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 22026831857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38386993827840).

22026831857856 is an abundant number, since it is smaller than the sum of its proper divisors (54747155797824).

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

22026831857856 is an equidigital number, since it uses as much as digits as its factorization.

22026831857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 22026831857856 in words is "twenty-two trillion, twenty-six billion, eight hundred thirty-one million, eight hundred fifty-seven thousand, eight hundred fifty-six".