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3056065146 = 2331719832111
BaseRepresentation
bin1011011000100111…
…1101101001111010
321212222112012021000
42312021331221322
522224323041041
61223130025430
7135506060631
oct26611755172
97788465230
103056065146
111329083a82
12713578276
133991b4494
1420dc3c518
1512d46abb6
hexb627da7a

3056065146 has 128 divisors (see below), whose sum is σ = 7664025600. Its totient is φ = 896935680.

The previous prime is 3056065139. The next prime is 3056065147. The reversal of 3056065146 is 6415606503.

3056065146 is a `hidden beast` number, since 3 + 0 + 5 + 606 + 5 + 1 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3056065146.

It is not an unprimeable number, because it can be changed into a prime (3056065147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446631 + ... + 1448741.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 23056065146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3056065146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

3056065146 is an abundant number, since it is smaller than the sum of its proper divisors (4607960454).

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

3056065146 is a wasteful number, since it uses less digits than its factorization.

3056065146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3056065146 is about 55281.6890660913. The cubic root of 3056065146 is about 1451.1786130247.

The spelling of 3056065146 in words is "three billion, fifty-six million, sixty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 83 102 114 153 166 171 249 306 323 342 459 498 513 646 747 918 969 1026 1411 1494 1577 1938 2111 2241 2822 2907 3154 4222 4233 4482 4731 5814 6333 8466 8721 9462 12666 12699 14193 17442 18999 25398 26809 28386 35887 37998 38097 40109 42579 53618 56997 71774 76194 80218 80427 85158 107661 113994 120327 160854 175213 215322 240654 241281 322983 350426 360981 482562 525639 645966 681853 721962 723843 968949 1051278 1082943 1363706 1447686 1576917 1937898 2045559 2165886 2978621 3153834 3329047 4091118 4730751 5957242 6136677 6658094 8935863 9461502 9987141 12273354 17871726 18410031 19974282 26807589 29961423 36820062 53615178 56593799 59922846 80422767 89884269 113187598 160845534 169781397 179768538 339562794 509344191 1018688382 1528032573 3056065146