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74184327424 = 282925872
BaseRepresentation
bin100010100010110111…
…0110000000100000000
321002111000220022000101
41011011232300010000
52203412141434144
654025123332144
75234233243654
oct1050556600400
9232430808011
1074184327424
1129509134209
1212464221054
136cc32c683c
14383a62ca64
151de2b466d4
hex1145bb0100

74184327424 has 81 divisors (see below), whose sum is σ = 153622822717. Its totient is φ = 35752113152.

The previous prime is 74184327409. The next prime is 74184327499. The reversal of 74184327424 is 42472348147.

The square root of 74184327424 is 272368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38900461824 + 35283865600 = 197232^2 + 187840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126378459 + ... + 126379045.

Almost surely, 274184327424 is an apocalyptic number.

74184327424 is the 272368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74184327424

74184327424 is an abundant number, since it is smaller than the sum of its proper divisors (79438495293).

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

74184327424 is an frugal number, since it uses more digits than its factorization.

74184327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 618 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 46.

The spelling of 74184327424 in words is "seventy-four billion, one hundred eighty-four million, three hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 587 841 928 1174 1682 1856 2348 3364 3712 4696 6728 7424 9392 13456 17023 18784 26912 34046 37568 53824 68092 75136 107648 136184 150272 215296 272368 344569 493667 544736 689138 987334 1089472 1378276 1974668 2178944 2756552 3949336 4357888 5513104 7898672 9992501 11026208 15797344 19985002 22052416 31594688 39970004 44104832 63189376 79940008 88209664 126378752 159880016 289782529 319760032 579565058 639520064 1159130116 1279040128 2318260232 2558080256 4636520464 9273040928 18546081856 37092163712 74184327424