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41055525104 = 24111935232311
BaseRepresentation
bin100110001111000110…
…011001100011110000
310220222020012202201212
4212033012121203300
51133040203300404
630505522215252
72652252130316
oct461706314360
9126866182655
1041055525104
1116458856740
127b594b4528
133b43960929
141db68500b6
1511044d506e
hex98f1998f0

41055525104 has 80 divisors (see below), whose sum is σ = 87430665984. Its totient is φ = 18521395200.

The previous prime is 41055525083. The next prime is 41055525107. The reversal of 41055525104 is 40152555014.

It is a super-2 number, since 2×410555251042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41055525107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17764109 + ... + 17766419.

Almost surely, 241055525104 is an apocalyptic number.

41055525104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41055525104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43715332992).

41055525104 is an abundant number, since it is smaller than the sum of its proper divisors (46375140880).

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

41055525104 is a wasteful number, since it uses less digits than its factorization.

41055525104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 41055525104 in words is "forty-one billion, fifty-five million, five hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 386 523 772 1046 1544 2092 2123 2311 3088 4184 4246 4622 5753 8368 8492 9244 11506 16984 18488 23012 25421 33968 36976 46024 50842 92048 100939 101684 201878 203368 403756 406736 446023 807512 892046 1110329 1208653 1615024 1784092 2220658 2417306 3568184 4441316 4834612 4906253 7136368 8882632 9669224 9812506 13295183 17765264 19338448 19625012 26590366 39250024 53180732 78500048 106361464 212722928 233270029 466540058 933080116 1866160232 2565970319 3732320464 5131940638 10263881276 20527762552 41055525104