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41585348550 = 23524742114011
BaseRepresentation
bin100110101110101011…
…100000111111000110
310222100011011120212110
4212232223200333012
51140131322123200
631034250201450
73001344426144
oct465653407706
9128304146773
1041585348550
11166aa932959
128086a23286
133bc9658525
142026d6a594
151135c8eb50
hex9aeae0fc6

41585348550 has 96 divisors (see below), whose sum is σ = 105583670784. Its totient is φ = 10826928000.

The previous prime is 41585348549. The next prime is 41585348561. The reversal of 41585348550 is 5584358514.

It is a self number, because there is not a number n which added to its sum of digits gives 41585348550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2961045 + ... + 2975055.

It is an arithmetic number, because the mean of its divisors is an integer number (1099829904).

Almost surely, 241585348550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41585348550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52791835392).

41585348550 is an abundant number, since it is smaller than the sum of its proper divisors (63998322234).

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

41585348550 is a wasteful number, since it uses less digits than its factorization.

41585348550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14494 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 41585348550 in words is "forty-one billion, five hundred eighty-five million, three hundred forty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 421 470 705 842 1175 1263 1410 2105 2350 2526 3525 4210 6315 7050 10525 12630 14011 19787 21050 28022 31575 39574 42033 59361 63150 70055 84066 98935 118722 140110 197870 210165 296805 350275 420330 494675 593610 658517 700550 989350 1050825 1317034 1484025 1975551 2101650 2968050 3292585 3951102 5898631 6585170 9877755 11797262 16462925 17695893 19755510 29493155 32925850 35391786 49388775 58986310 88479465 98777550 147465775 176958930 277235657 294931550 442397325 554471314 831706971 884794650 1386178285 1663413942 2772356570 4158534855 6930891425 8317069710 13861782850 20792674275 41585348550