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74410243056 = 243132917
BaseRepresentation
bin100010101001100110…
…0100011001111110000
321010001210000000000000
41011103030203033300
52204343010234211
654103353430000
75242645426062
oct1052314431760
9233053000000
1074410243056
1129614707a46
1212507a0b300
13702b055a26
14385c639732
151e078be656
hex11533233f0

74410243056 has 140 divisors (see below), whose sum is σ = 216328859672. Its totient is φ = 24794911296.

The previous prime is 74410243049. The next prime is 74410243123. The reversal of 74410243056 is 65034201447.

74410243056 is a `hidden beast` number, since 74 + 4 + 102 + 430 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74410243056.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 25507710 + ... + 25510626.

Almost surely, 274410243056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74410243056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108164429836).

74410243056 is an abundant number, since it is smaller than the sum of its proper divisors (141918616616).

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

74410243056 is an frugal number, since it uses more digits than its factorization.

74410243056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 74410243056 in words is "seventy-four billion, four hundred ten million, two hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 2917 3888 4374 5832 5834 6561 8748 8751 11664 11668 13122 17496 17502 19683 23336 26244 26253 34992 35004 39366 46672 52488 52506 59049 70008 78732 78759 104976 105012 118098 140016 157464 157518 177147 210024 236196 236277 314928 315036 354294 420048 472392 472554 531441 630072 708588 708831 944784 945108 1062882 1260144 1417176 1417662 1594323 1890216 2125764 2126493 2834352 2835324 3188646 3780432 4251528 4252986 5670648 6377292 6379479 8503056 8505972 11341296 12754584 12758958 17011944 19138437 25509168 25517916 34023888 38276874 51035832 57415311 76553748 102071664 114830622 153107496 172245933 229661244 306214992 344491866 459322488 516737799 688983732 918644976 1033475598 1377967464 1550213397 2066951196 2755934928 3100426794 4133902392 4650640191 6200853588 8267804784 9301280382 12401707176 18602560764 24803414352 37205121528 74410243056