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4112347008252 = 2237267347300821
BaseRepresentation
bin111011110101111010111…
…110111000110011111100
3112120010200112102001100210
4323311322332320303330
51014334041313231002
612425104112152420
7603051535552200
oct73657276706374
915503615361323
104112347008252
11134604474a81a
12565000838710
1323aa3c619202
1410307810ab00
1571e8915c96c
hex3bd7afb8cfc

4112347008252 has 144 divisors (see below), whose sum is σ = 11361368285568. Its totient is φ = 1154080287360.

The previous prime is 4112347008229. The next prime is 4112347008331. The reversal of 4112347008252 is 2528007432114.

It is a happy number.

It is a super-2 number, since 2×41123470082522 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4112347008252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13520002 + ... + 13820822.

It is an arithmetic number, because the mean of its divisors is an integer number (78898390872).

Almost surely, 24112347008252 is an apocalyptic number.

4112347008252 is a gapful number since it is divisible by the number (42) 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 4112347008252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680684142784).

4112347008252 is an abundant number, since it is smaller than the sum of its proper divisors (7249021277316).

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

4112347008252 is a wasteful number, since it uses less digits than its factorization.

4112347008252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301256 (or 301247 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 4112347008252 in words is "four trillion, one hundred twelve billion, three hundred forty-seven million, eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 347 402 469 588 694 804 938 1041 1388 1407 1876 2082 2429 2814 3283 4164 4858 5628 6566 7287 9716 9849 13132 14574 17003 19698 23249 29148 34006 39396 46498 51009 68012 69747 92996 102018 139494 162743 204036 278988 300821 325486 488229 601642 650972 902463 976458 1139201 1203284 1804926 1952916 2105747 2278402 3417603 3609852 4211494 4556804 6317241 6835206 8422988 12634482 13670412 14740229 20155007 25268964 29480458 40310014 44220687 58960916 60465021 80620028 88441374 104384887 120930042 141085049 176882748 208769774 241860084 282170098 313154661 417539548 423255147 564340196 626309322 730694209 846510294 987595343 1252618644 1461388418 1693020588 1975190686 2192082627 2922776836 2962786029 3950381372 4384165254 5114859463 5925572058 6993787429 8768330508 10229718926 11851144116 13987574858 15344578389 20459437852 20981362287 27975149716 30689156778 41962724574 48956512003 61378313556 83925449148 97913024006 146869536009 195826048012 293739072018 342695584021 587478144036 685391168042 1028086752063 1370782336084 2056173504126 4112347008252