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74074667472 = 24321339569801
BaseRepresentation
bin100010011111100110…
…0011011100111010000
321002012101112222211200
41010333030123213100
52203201103324342
654010205111200
75231432166441
oct1047714334720
9232171488750
1074074667472
1129462245053
1212433558500
136ca66801b0
143829c452c8
151dd81d494c
hex113f31b9d0

74074667472 has 60 divisors (see below), whose sum is σ = 223252822884. Its totient is φ = 22792204800.

The previous prime is 74074667453. The next prime is 74074667473. The reversal of 74074667472 is 27476647047.

It is a happy number.

74074667472 is a `hidden beast` number, since 7 + 40 + 7 + 466 + 74 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6003770256 + 68070897216 = 77484^2 + 260904^2 .

It is a super-2 number, since 2×740746674722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74074667473) 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 11 ways as a sum of consecutive naturals, for example, 19783029 + ... + 19786772.

Almost surely, 274074667472 is an apocalyptic number.

74074667472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74074667472 is an abundant number, since it is smaller than the sum of its proper divisors (149178155412).

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

74074667472 is a wasteful number, since it uses less digits than its factorization.

74074667472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39569828 (or 39569819 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 74074667472 in words is "seventy-four billion, seventy-four million, six hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 39569801 79139602 118709403 158279204 237418806 316558408 356128209 474837612 514407413 633116816 712256418 949675224 1028814826 1424512836 1543222239 1899350448 2057629652 2849025672 3086444478 4115259304 4629666717 5698051344 6172888956 8230518608 9259333434 12345777912 18518666868 24691555824 37037333736 74074667472