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74338742560 = 2551698127361
BaseRepresentation
bin100010100111011101…
…1110011000100100000
321002212210110101202111
41011032323303010200
52204221204230220
654052321125104
75241116612605
oct1051673630440
9232783411674
1074338742560
1129588311625
12124a7a89794
1370192b0244
143852d466ac
151e0149915a
hex114eef3120

74338742560 has 48 divisors (see below), whose sum is σ = 175642040952. Its totient is φ = 29732659200.

The previous prime is 74338742549. The next prime is 74338742567. The reversal of 74338742560 is 6524783347.

It can be written as a sum of positive squares in 4 ways, for example, as 73786116496 + 552626064 = 271636^2 + 23508^2 .

It is not an unprimeable number, because it can be changed into a prime (74338742567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2703280 + ... + 2730640.

Almost surely, 274338742560 is an apocalyptic number.

It is an amenable number.

74338742560 is an abundant number, since it is smaller than the sum of its proper divisors (101303298392).

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

74338742560 is a wasteful number, since it uses less digits than its factorization.

74338742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44357 (or 44349 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 74338742560 in words is "seventy-four billion, three hundred thirty-eight million, seven hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 16981 27361 33962 54722 67924 84905 109444 135848 136805 169810 218888 271696 273610 339620 437776 543392 547220 679240 875552 1094440 1358480 2188880 2716960 4377760 464617141 929234282 1858468564 2323085705 3716937128 4646171410 7433874256 9292342820 14867748512 18584685640 37169371280 74338742560