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74276725140 = 22335569241739
BaseRepresentation
bin100010100101100111…
…1001110000110010100
321002201110202120212000
41011023033032012110
52204104320201030
654042223555300
75236434514032
oct1051317160624
9232643676760
1074276725140
1129556302a62
121248b15bb30
1370094a7c47
143848a01552
151deace8860
hex114b3ce194

74276725140 has 96 divisors (see below), whose sum is σ = 231490224000. Its totient is φ = 19772234496.

The previous prime is 74276725129. The next prime is 74276725217. The reversal of 74276725140 is 4152767247.

74276725140 is a `hidden beast` number, since 7 + 427 + 67 + 25 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 186391 + ... + 428129.

It is an arithmetic number, because the mean of its divisors is an integer number (2411356500).

Almost surely, 274276725140 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 74276725140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115745112000).

74276725140 is an abundant number, since it is smaller than the sum of its proper divisors (157213498860).

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

74276725140 is a wasteful number, since it uses less digits than its factorization.

74276725140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242326 (or 242318 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 74276725140 in words is "seventy-four billion, two hundred seventy-six million, seven hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 569 1138 1707 2276 2845 3414 5121 5690 6828 8535 10242 11380 15363 17070 20484 25605 30726 34140 51210 61452 76815 102420 153630 241739 307260 483478 725217 966956 1208695 1450434 2175651 2417390 2900868 3626085 4351302 4834780 6526953 7252170 8702604 10878255 13053906 14504340 21756510 26107812 32634765 43513020 65269530 130539060 137549491 275098982 412648473 550197964 687747455 825296946 1237945419 1375494910 1650593892 2063242365 2475890838 2750989820 3713836257 4126484730 4951781676 6189727095 7427672514 8252969460 12379454190 14855345028 18569181285 24758908380 37138362570 74276725140