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10146066426 = 233187890119
BaseRepresentation
bin10010111001100000…
…01010111111111010
3222012002121120121000
421130300022333322
5131234343111201
64354441225430
7506300066406
oct113460127772
928162546530
1010146066426
11433720a971
121b71a92276
13c5903cb02
146c3706106
153e5b11d86
hex25cc0affa

10146066426 has 16 divisors (see below), whose sum is σ = 22546814400. Its totient is φ = 3382022124.

The previous prime is 10146066421. The next prime is 10146066451. The reversal of 10146066426 is 62466064101.

10146066426 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 0 + 6 + 642 + 6 = 666.

It is a super-3 number, since 3×101460664263 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10146066421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93945006 + ... + 93945113.

It is an arithmetic number, because the mean of its divisors is an integer number (1409175900).

Almost surely, 210146066426 is an apocalyptic number.

10146066426 is an abundant number, since it is smaller than the sum of its proper divisors (12400747974).

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

10146066426 is a wasteful number, since it uses less digits than its factorization.

10146066426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187890130 (or 187890124 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10146066426 in words is "ten billion, one hundred forty-six million, sixty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 187890119 375780238 563670357 1127340714 1691011071 3382022142 5073033213 10146066426