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4098166344 = 2332503113159
BaseRepresentation
bin1111010001000101…
…0000111001001000
3101120121102102100200
43310101100321020
531343112310334
61514353532200
7203361560556
oct36421207110
911517372320
104098166344
111813343038
12964574060
135040726cc
142ac3c8bd6
1518ebb6799
hexf4450e48

4098166344 has 48 divisors (see below), whose sum is σ = 11121364800. Its totient is φ = 1363327584.

The previous prime is 4098166337. The next prime is 4098166433. The reversal of 4098166344 is 4436618904.

4098166344 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 1 + 6 + 634 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4098166344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20364 + ... + 92795.

It is an arithmetic number, because the mean of its divisors is an integer number (231695100).

Almost surely, 24098166344 is an apocalyptic number.

It is an amenable number.

4098166344 is an abundant number, since it is smaller than the sum of its proper divisors (7023198456).

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

4098166344 is a wasteful number, since it uses less digits than its factorization.

4098166344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113674 (or 113667 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4098166344 is about 64016.9223252727. The cubic root of 4098166344 is about 1600.2820263270.

The spelling of 4098166344 in words is "four billion, ninety-eight million, one hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 503 1006 1509 2012 3018 4024 4527 6036 9054 12072 18108 36216 113159 226318 339477 452636 678954 905272 1018431 1357908 2036862 2715816 4073724 8147448 56918977 113837954 170756931 227675908 341513862 455351816 512270793 683027724 1024541586 1366055448 2049083172 4098166344