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22606066139328 = 2634747103912757
BaseRepresentation
bin1010010001111011000101…
…00010101100000011000000
32222001010012121200012220000
411020331202202230003000
510430334210412424303
6120025030003520000
74522143251510250
oct510754242540300
988033177605800
1022606066139328
1172261a6aa6701
122651259989000
13c7c98718a859
145821d4899960
15293080530da3
hex148f628ac0c0

22606066139328 has 560 divisors, whose sum is σ = 78295401000960. Its totient is φ = 6314873923584.

The previous prime is 22606066139311. The next prime is 22606066139341. The reversal of 22606066139328 is 82393166060622.

It is a happy number.

22606066139328 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 606 + 6 + 1 + 3 + 9 + 3 + 28 = 666.

It is a super-2 number, since 2×226060661393282 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1772045526 + ... + 1772058282.

Almost surely, 222606066139328 is an apocalyptic number.

22606066139328 is a gapful number since it is divisible by the number (28) 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 22606066139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39147700500480).

22606066139328 is an abundant number, since it is smaller than the sum of its proper divisors (55689334861632).

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

22606066139328 is a wasteful number, since it uses less digits than its factorization.

22606066139328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 22606066139328 in words is "twenty-two trillion, six hundred six billion, sixty-six million, one hundred thirty-nine thousand, three hundred twenty-eight".