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4268560104 = 233259285557
BaseRepresentation
bin1111111001101101…
…0000111011101000
3102000111001022122200
43332123100323220
532220222410404
61543322020200
7210531106434
oct37633207350
912014038580
104268560104
1118a0544426
129b1647660
13530462013
142c6ca19c4
1519eb23839
hexfe6d0ee8

4268560104 has 24 divisors (see below), whose sum is σ = 11560683810. Its totient is φ = 1422853344.

The previous prime is 4268560103. The next prime is 4268560181. The reversal of 4268560104 is 4010658624.

4268560104 is a `hidden beast` number, since 42 + 6 + 8 + 5 + 601 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2359044900 + 1909515204 = 48570^2 + 43698^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×42685601043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4268560103) 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 5 ways as a sum of consecutive naturals, for example, 29642707 + ... + 29642850.

Almost surely, 24268560104 is an apocalyptic number.

It is an amenable number.

4268560104 is an abundant number, since it is smaller than the sum of its proper divisors (7292123706).

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

4268560104 is a wasteful number, since it uses less digits than its factorization.

4268560104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59285569 (or 59285562 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4268560104 is about 65334.2184769972. The cubic root of 4268560104 is about 1622.1604189280.

The spelling of 4268560104 in words is "four billion, two hundred sixty-eight million, five hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 59285557 118571114 177856671 237142228 355713342 474284456 533570013 711426684 1067140026 1422853368 2134280052 4268560104