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74726306368 = 2672514671423
BaseRepresentation
bin100010110011000001…
…0001111001001000000
321010212210201200100121
41011212002033021000
52211014413300433
654155004030024
75253534060340
oct1054602171100
9233783650317
1074726306368
1129767062a9a
1212595832314
13707b68913c
14388c5d0d20
151e25502c2d
hex116608f240

74726306368 has 112 divisors (see below), whose sum is σ = 170627917824. Its totient is φ = 31807296000.

The previous prime is 74726306339. The next prime is 74726306371. The reversal of 74726306368 is 86360362747.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52512505 + ... + 52513927.

It is an arithmetic number, because the mean of its divisors is an integer number (1523463552).

Almost surely, 274726306368 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 74726306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85313958912).

74726306368 is an abundant number, since it is smaller than the sum of its proper divisors (95901611456).

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

74726306368 is a wasteful number, since it uses less digits than its factorization.

74726306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 74726306368 in words is "seventy-four billion, seven hundred twenty-six million, three hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 467 502 934 1004 1423 1757 1868 2008 2846 3269 3514 3736 4016 5692 6538 7028 7472 8032 9961 11384 13076 14056 14944 16064 19922 22768 26152 28112 29888 39844 45536 52304 56224 79688 91072 104608 112448 117217 159376 209216 234434 318752 357173 468868 637504 664541 714346 820519 937736 1329082 1428692 1641038 1875472 2500211 2658164 2857384 3282076 3750944 4651787 5000422 5316328 5714768 6564152 7501888 9303574 10000844 10632656 11429536 13128304 18607148 20001688 21265312 22859072 26256608 37214296 40003376 42530624 52513216 74428592 80006752 148857184 160013504 166799791 297714368 333599582 667199164 1167598537 1334398328 2335197074 2668796656 4670394148 5337593312 9340788296 10675186624 18681576592 37363153184 74726306368