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2056466104 = 2374119733
BaseRepresentation
bin111101010010011…
…0010111010111000
312022022121022011021
41322210302322320
513202423403404
6540021112224
7101650450000
oct17244627270
95268538137
102056466104
11965904470
12494858674
1326a087964
14157197000
15c0818454
hex7a932eb8

2056466104 has 80 divisors (see below), whose sum is σ = 4907688120. Its totient is φ = 801138240.

The previous prime is 2056466077. The next prime is 2056466117. The reversal of 2056466104 is 4016646502.

It is a super-3 number, since 3×20564661043 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2056466104.

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 19 ways as a sum of consecutive naturals, for example, 206422 + ... + 216154.

Almost surely, 22056466104 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 2056466104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453844060).

2056466104 is an abundant number, since it is smaller than the sum of its proper divisors (2851222016).

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

2056466104 is an equidigital number, since it uses as much as digits as its factorization.

2056466104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2056466104 is about 45348.2756452767. The cubic root of 2056466104 is about 1271.6683189759.

It can be divided in two parts, 20564 and 66104, that added together give a palindrome (86668).

The spelling of 2056466104 in words is "two billion, fifty-six million, four hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 1078 1372 2156 2401 2744 3773 4312 4802 7546 9604 9733 15092 19208 19466 26411 30184 38932 52822 68131 77864 105644 107063 136262 211288 214126 272524 428252 476917 545048 749441 856504 953834 1498882 1907668 2997764 3338419 3815336 5246087 5995528 6676838 10492174 13353676 20984348 23368933 26707352 36722609 41968696 46737866 73445218 93475732 146890436 186951464 257058263 293780872 514116526 1028233052 2056466104