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22642790663556 = 2235724130493803
BaseRepresentation
bin1010010010111111011110…
…11111101000010110000100
32222011122000000100100100000
411021133233133220112010
510431434413402213211
6120053542053521300
74524613314020100
oct511375737502604
988148000310300
1022642790663556
11723a832040278
1226583a8943230
13c8328a76656b
14583cba032900
15293ece6ab656
hex1497ef7e8584

22642790663556 has 432 divisors, whose sum is σ = 70772399006400. Its totient is φ = 6307850142720.

The previous prime is 22642790663533. The next prime is 22642790663617. The reversal of 22642790663556 is 65536609724622.

22642790663556 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 2 + 79 + 0 + 6 + 6 + 3 + 556 = 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 = 22642790663493 and 22642790663502.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5953926751 + ... + 5953930553.

It is an arithmetic number, because the mean of its divisors is an integer number (163824997700).

Almost surely, 222642790663556 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 22642790663556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35386199503200).

22642790663556 is an abundant number, since it is smaller than the sum of its proper divisors (48129608342844).

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

22642790663556 is a wasteful number, since it uses less digits than its factorization.

22642790663556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 22642790663556 in words is "twenty-two trillion, six hundred forty-two billion, seven hundred ninety million, six hundred sixty-three thousand, five hundred fifty-six".