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74260078096 = 241710315716883
BaseRepresentation
bin100010100101000111…
…1101101111000010000
321002200022102211101211
41011022033231320100
52204041034444341
654040431105504
75236143151261
oct1051217557020
9232608384354
1074260078096
1129547972876
1212485672294
137005bc9a19
14384670a968
151de960b181
hex114a3ede10

74260078096 has 80 divisors (see below), whose sum is σ = 154810341504. Its totient is φ = 34384177152.

The previous prime is 74260078091. The next prime is 74260078099. The reversal of 74260078096 is 69087006247.

It is not an unprimeable number, because it can be changed into a prime (74260078091) 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 15 ways as a sum of consecutive naturals, for example, 4390071 + ... + 4406953.

Almost surely, 274260078096 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 74260078096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77405170752).

74260078096 is an abundant number, since it is smaller than the sum of its proper divisors (80550263408).

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

74260078096 is a wasteful number, since it uses less digits than its factorization.

74260078096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 74260078096 in words is "seventy-four billion, two hundred sixty million, seventy-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 103 136 157 206 272 314 412 628 824 1256 1648 1751 2512 2669 3502 5338 7004 10676 14008 16171 16883 21352 28016 32342 33766 42704 64684 67532 129368 135064 258736 270128 274907 287011 549814 574022 1099628 1148044 1738949 2199256 2296088 2650631 3477898 4398512 4592176 5301262 6955796 10602524 13911592 21205048 27823184 29562133 42410096 45060727 59124266 90121454 118248532 180242908 236497064 273014993 360485816 472994128 546029986 720971632 1092059972 2184119944 4368239888 4641254881 9282509762 18565019524 37130039048 74260078096