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41986106352 = 2434316910223
BaseRepresentation
bin100111000110100100…
…010010001111110000
311000101002021012020000
4213012210102033300
51141441420400402
631142123550000
73014312005221
oct470644221760
9130332235200
1041986106352
1116896076153
12817908b300
133c616a3a18
14206428b248
15115b052c1c
hex9c69123f0

41986106352 has 100 divisors (see below), whose sum is σ = 121570210080. Its totient is φ = 13989583872.

The previous prime is 41986106299. The next prime is 41986106413. The reversal of 41986106352 is 25360168914.

41986106352 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 6 + 1 + 0 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41986106298 and 41986106307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4101913 + ... + 4112135.

Almost surely, 241986106352 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 41986106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60785105040).

41986106352 is an abundant number, since it is smaller than the sum of its proper divisors (79584103728).

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

41986106352 is a wasteful number, since it uses less digits than its factorization.

41986106352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 41986106352 in words is "forty-one billion, nine hundred eighty-six million, one hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3169 6338 9507 10223 12676 19014 20446 25352 28521 30669 38028 40892 50704 57042 61338 76056 81784 85563 92007 114084 122676 152112 163568 171126 184014 228168 245352 256689 276021 342252 368028 456336 490704 513378 552042 684504 736056 828063 1026756 1104084 1369008 1472112 1656126 2053512 2208168 3312252 4107024 4416336 6624504 13249008 32396687 64793374 97190061 129586748 194380122 259173496 291570183 388760244 518346992 583140366 777520488 874710549 1166280732 1555040976 1749421098 2332561464 2624131647 3498842196 4665122928 5248263294 6997684392 10496526588 13995368784 20993053176 41986106352