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50135345040 = 24351139314831
BaseRepresentation
bin101110101100010011…
…001010011110010000
311210102000111102010010
4232230103022132100
51310134122020130
635010514234520
73423254254464
oct565423123620
9153360442103
1050135345040
111a298105860
129872285a40
13495cb0a351
1425d86c24a4
1514866cc0b0
hexbac4ca790

50135345040 has 160 divisors (see below), whose sum is σ = 169626857472. Its totient is φ = 12148416000.

The previous prime is 50135345021. The next prime is 50135345123. The reversal of 50135345040 is 4054353105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 50135344989 and 50135345007.

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, 10375425 + ... + 10380255.

Almost surely, 250135345040 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 50135345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84813428736).

50135345040 is an abundant number, since it is smaller than the sum of its proper divisors (119491512432).

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

50135345040 is a wasteful number, since it uses less digits than its factorization.

50135345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 50135345040 its reverse (4054353105), we get a palindrome (54189698145).

The spelling of 50135345040 in words is "fifty billion, one hundred thirty-five million, three hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3931 4831 7862 9662 11793 14493 15724 19324 19655 23586 24155 28986 31448 38648 39310 43241 47172 48310 53141 57972 58965 62896 72465 77296 78620 86482 94344 96620 106282 115944 117930 129723 144930 157240 159423 172964 188688 193240 212564 216205 231888 235860 259446 265705 289860 314480 318846 345928 386480 425128 432410 471720 518892 531410 579720 637692 648615 691856 797115 850256 864820 943440 1037784 1062820 1159440 1275384 1297230 1594230 1729640 2075568 2125640 2550768 2594460 3188460 3459280 4251280 5188920 6376920 10377840 12753840 18990661 37981322 56971983 75962644 94953305 113943966 151925288 189906610 208897271 227887932 284859915 303850576 379813220 417794542 455775864 569719830 626691813 759626440 835589084 911551728 1044486355 1139439660 1253383626 1519252880 1671178168 2088972710 2278879320 2506767252 3133459065 3342356336 4177945420 4557758640 5013534504 6266918130 8355890840 10027069008 12533836260 16711781680 25067672520 50135345040