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74347132512 = 25317238919069
BaseRepresentation
bin100010100111101101…
…1110011011001100000
321002220101020122121110
41011033123303121200
52204230331220022
654053221023320
75241251125242
oct1051733633140
9232811218543
1074347132512
1129592022074
12124aa854b40
13701ac5a003
1438540cc092
151e020a500c
hex114f6f3660

74347132512 has 96 divisors (see below), whose sum is σ = 206738632800. Its totient is φ = 23313604608.

The previous prime is 74347132441. The next prime is 74347132537. The reversal of 74347132512 is 21523174347.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×743471325123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3889314 + ... + 3908382.

It is an arithmetic number, because the mean of its divisors is an integer number (2153527425).

Almost surely, 274347132512 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 74347132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103369316400).

74347132512 is an abundant number, since it is smaller than the sum of its proper divisors (132391500288).

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

74347132512 is a wasteful number, since it uses less digits than its factorization.

74347132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21488 (or 21480 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The spelling of 74347132512 in words is "seventy-four billion, three hundred forty-seven million, one hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2389 4778 7167 9556 14334 19069 19112 28668 38138 38224 40613 57207 57336 76276 76448 81226 114414 114672 121839 152552 162452 228828 229344 243678 305104 324173 324904 457656 487356 610208 648346 649808 915312 972519 974712 1296692 1299616 1830624 1945038 1949424 2593384 3890076 3898848 5186768 7780152 10373536 15560304 31120608 45555841 91111682 136667523 182223364 273335046 364446728 546670092 728893456 774449297 1093340184 1457786912 1548898594 2186680368 2323347891 3097797188 4373360736 4646695782 6195594376 9293391564 12391188752 18586783128 24782377504 37173566256 74347132512