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4112741556 = 22327115925147
BaseRepresentation
bin1111010100100011…
…0111010010110100
3101121121211220210100
43311020313102310
531410330212211
61520034154100
7203626504110
oct36510672264
911547756710
104112741556
111820598670
12969422930
135070a68b1
142b0300740
151910e5156
hexf52374b4

4112741556 has 144 divisors (see below), whose sum is σ = 13181575680. Its totient is φ = 1050096960.

The previous prime is 4112741519. The next prime is 4112741599. The reversal of 4112741556 is 6551472114.

4112741556 is a `hidden beast` number, since 41 + 1 + 27 + 41 + 556 = 666.

It is a super-2 number, since 2×41127415562 = 33829286212898602272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4112741556.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 150975 + ... + 176121.

It is an arithmetic number, because the mean of its divisors is an integer number (91538720).

Almost surely, 24112741556 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 4112741556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590787840).

4112741556 is an abundant number, since it is smaller than the sum of its proper divisors (9068834124).

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

4112741556 is a wasteful number, since it uses less digits than its factorization.

4112741556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25234 (or 25229 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 4112741556 is about 64130.6600309088. The cubic root of 4112741556 is about 1602.1769268792.

The spelling of 4112741556 in words is "four billion, one hundred twelve million, seven hundred forty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 59 63 66 77 84 99 118 126 132 154 177 198 231 236 252 308 354 396 413 462 531 649 693 708 826 924 1062 1239 1298 1386 1652 1947 2124 2478 2596 2772 3717 3894 4543 4956 5841 7434 7788 9086 11682 13629 14868 18172 23364 25147 27258 40887 50294 54516 75441 81774 100588 150882 163548 176029 226323 276617 301764 352058 452646 528087 553234 704116 829851 905292 1056174 1106468 1483673 1584261 1659702 1936319 2112348 2489553 2967346 3168522 3319404 3872638 4451019 4979106 5808957 5934692 6337044 7745276 8902038 9958212 10385711 11617914 13353057 16320403 17426871 17804076 20771422 23235828 26706114 31157133 32640806 34853742 41542844 48961209 53412228 62314266 65281612 69707484 93471399 97922418 114242821 124628532 146883627 186942798 195844836 228485642 293767254 342728463 373885596 456971284 587534508 685456926 1028185389 1370913852 2056370778 4112741556