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74316016736 = 2513259892617
BaseRepresentation
bin100010100110110010…
…1000110110001100000
321002211012200210210022
41011031211012301200
52204144400013421
654050150053012
75240422501553
oct1051545066140
9232735623708
1074316016736
11295764aa355
12124a034a168
137014684200
14384dd0c69a
151dee4aa7ab
hex114d946c60

74316016736 has 144 divisors (see below), whose sum is σ = 162987778800. Its totient is φ = 33326751744.

The previous prime is 74316016699. The next prime is 74316016799. The reversal of 74316016736 is 63761061347.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28396100 + ... + 28398716.

It is an arithmetic number, because the mean of its divisors is an integer number (1131859575).

Almost surely, 274316016736 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 74316016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81493889400).

74316016736 is an abundant number, since it is smaller than the sum of its proper divisors (88671762064).

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

74316016736 is a wasteful number, since it uses less digits than its factorization.

74316016736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 74316016736 in words is "seventy-four billion, three hundred sixteen million, sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 59 89 104 118 169 178 208 236 338 356 416 472 676 712 767 944 1157 1352 1424 1534 1888 2314 2617 2704 2848 3068 4628 5234 5251 5408 6136 9256 9971 10468 10502 12272 15041 18512 19942 20936 21004 24544 30082 34021 37024 39884 41872 42008 60164 68042 68263 79768 83744 84016 120328 136084 136526 154403 159536 168032 232913 240656 272168 273052 308806 319072 442273 465826 481312 544336 546104 617612 884546 887419 931652 1088672 1092208 1235224 1769092 1774838 1863304 2007239 2184416 2470448 3027869 3538184 3549676 3726608 4014478 4940896 6055738 7076368 7099352 7453216 8028956 12111476 13741867 14152736 14198704 16057912 24222952 26094107 27483734 28397408 32115824 39362297 48445904 52188214 54967468 64231648 78724594 96891808 104376428 109934936 157449188 178644271 208752856 219869872 314898376 357288542 417505712 439739744 629796752 714577084 835011424 1259593504 1429154168 2322375523 2858308336 4644751046 5716616672 9289502092 18579004184 37158008368 74316016736