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41816397600252 = 22331123199907989
BaseRepresentation
bin10011000001000001000111…
…00001100101010111111100
312111001121102122110120121000
421200200203201211113330
520440104440241202002
6224534104324410300
711544064212643362
oct1140404341452774
9174047378416530
1041816397600252
1112362264326500
12483436ab46990
131a44366a770c2
14a47cd2957632
154c7b1910861c
hex2608238655fc

41816397600252 has 72 divisors (see below), whose sum is σ = 119164573547600. Its totient is φ = 12671635632480.

The previous prime is 41816397600221. The next prime is 41816397600277. The reversal of 41816397600252 is 25200679361814.

It is a happy number.

41816397600252 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 6 + 3 + 9 + 7 + 600 + 25 + 2 = 666.

It is a super-2 number, since 2×418163976002522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599940927 + ... + 1599967062.

It is a 1-persistent number, because it is pandigital, but 2⋅41816397600252 = 83632795200504 is not.

Almost surely, 241816397600252 is an apocalyptic number.

It is an amenable number.

41816397600252 is an abundant number, since it is smaller than the sum of its proper divisors (77348175947348).

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

41816397600252 is a wasteful number, since it uses less digits than its factorization.

41816397600252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199908024 (or 3199908005 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 41816397600252 in words is "forty-one trillion, eight hundred sixteen billion, three hundred ninety-seven million, six hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 3199907989 6399815978 9599723967 12799631956 19199447934 28799171901 35198987879 38398895868 57598343802 70397975758 86397515703 105596963637 115196687604 140795951516 172795031406 211193927274 316790890911 345590062812 387188866669 422387854548 633581781822 774377733338 950372672733 1161566600007 1267163563644 1548755466676 1900745345466 2323133200014 3484699800021 3801490690932 4646266400028 6969399600042 10454099400063 13938799200084 20908198800126 41816397600252