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41052105252 = 22326149937463
BaseRepresentation
bin100110001110111001…
…010110101000100100
310220221222210000120200
4212032321112220210
51133033314332002
630505321030500
72652211065024
oct461671265044
9126858700520
1041052105252
1116456930314
127b58325430
133b43034152
141db61dda84
15110405bb1c
hex98ee56a24

41052105252 has 72 divisors (see below), whose sum is σ = 105685944000. Its totient is φ = 13432374720.

The previous prime is 41052105251. The next prime is 41052105253. The reversal of 41052105252 is 25250125014.

41052105252 is a `hidden beast` number, since 41 + 0 + 521 + 0 + 52 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (41052105251) and next prime (41052105253).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (41052105251) 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 23 ways as a sum of consecutive naturals, for example, 1077073 + ... + 1114535.

Almost surely, 241052105252 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 41052105252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52842972000).

41052105252 is an abundant number, since it is smaller than the sum of its proper divisors (64633838748).

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

41052105252 is a wasteful number, since it uses less digits than its factorization.

41052105252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38033 (or 38028 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 41052105252 in words is "forty-one billion, fifty-two million, one hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 499 549 732 998 1098 1497 1996 2196 2994 4491 5988 8982 17964 30439 37463 60878 74926 91317 112389 121756 149852 182634 224778 273951 337167 365268 449556 547902 674334 1095804 1348668 2285243 4570486 6855729 9140972 13711458 18694037 20567187 27422916 37388074 41134374 56082111 74776148 82268748 112164222 168246333 224328444 336492666 672985332 1140336257 2280672514 3421008771 4561345028 6842017542 10263026313 13684035084 20526052626 41052105252