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58062743040 = 29359837691
BaseRepresentation
bin110110000100110011…
…110010011000000000
312112212111021221210110
4312010303302120000
51422403030234130
642401302031320
74123564113141
oct660463623000
9175774257713
1058062743040
11226959a5255
12b305118540
1356242b04b3
142b4b48bac8
15179c635ab0
hexd84cf2600

58062743040 has 160 divisors (see below), whose sum is σ = 185832320256. Its totient is φ = 15465635840.

The previous prime is 58062743033. The next prime is 58062743059. The reversal of 58062743040 is 4034726085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 58062743040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7545595 + ... + 7553285.

Almost surely, 258062743040 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 58062743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92916160128).

58062743040 is an abundant number, since it is smaller than the sum of its proper divisors (127769577216).

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

58062743040 is an equidigital number, since it uses as much as digits as its factorization.

58062743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 58062743040 in words is "fifty-eight billion, sixty-two million, seven hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 983 1280 1536 1920 1966 2560 2949 3840 3932 4915 5898 7680 7691 7864 9830 11796 14745 15382 15728 19660 23073 23592 29490 30764 31456 38455 39320 46146 47184 58980 61528 62912 76910 78640 92292 94368 115365 117960 123056 125824 153820 157280 184584 188736 230730 235920 246112 251648 307640 314560 369168 377472 461460 471840 492224 503296 615280 629120 738336 754944 922920 943680 984448 1230560 1258240 1476672 1509888 1845840 1887360 1968896 2461120 2516480 2953344 3691680 3774720 3937792 4922240 5906688 7383360 7549440 7560253 9844480 11813376 14766720 15120506 19688960 22680759 29533440 30241012 37801265 45361518 59066880 60482024 75602530 90723036 113403795 120964048 151205060 181446072 226807590 241928096 302410120 362892144 453615180 483856192 604820240 725784288 907230360 967712384 1209640480 1451568576 1814460720 1935424768 2419280960 2903137152 3628921440 3870849536 4838561920 5806274304 7257842880 9677123840 11612548608 14515685760 19354247680 29031371520 58062743040