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6053816412 = 22327611991979
BaseRepresentation
bin1011010001101010…
…11110100001011100
3120121220022201220200
411220311132201130
544344234111122
62440414143500
7303006406350
oct55065364134
916556281820
106053816412
112627248966
12120b4b1b90
1375628c2b7
1441601b460
152567185ac
hex168d5e85c

6053816412 has 144 divisors (see below), whose sum is σ = 17873856000. Its totient is φ = 1691902080.

The previous prime is 6053816389. The next prime is 6053816429. The reversal of 6053816412 is 2146183506.

It is a happy number.

6053816412 is a `hidden beast` number, since 6 + 0 + 5 + 3 + 8 + 1 + 641 + 2 = 666.

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

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, 3058039 + ... + 3060017.

It is an arithmetic number, because the mean of its divisors is an integer number (124124000).

Almost surely, 26053816412 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 6053816412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928000).

6053816412 is an abundant number, since it is smaller than the sum of its proper divisors (11820039588).

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

6053816412 is a wasteful number, since it uses less digits than its factorization.

6053816412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6053816412 is about 77806.2748883405. The cubic root of 6053816412 is about 1822.5372585766.

Adding to 6053816412 its reverse (2146183506), we get a palindrome (8199999918).

The spelling of 6053816412 in words is "six billion, fifty-three million, eight hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 199 244 252 366 398 427 549 597 732 796 854 1098 1194 1281 1393 1708 1791 1979 2196 2388 2562 2786 3582 3843 3958 4179 5124 5572 5937 7164 7686 7916 8358 11874 12139 12537 13853 15372 16716 17811 23748 24278 25074 27706 35622 36417 41559 48556 50148 55412 71244 72834 83118 84973 109251 120719 124677 145668 166236 169946 218502 241438 249354 254919 339892 362157 393821 437004 482876 498708 509838 724314 764757 787642 845033 1019676 1086471 1181463 1448628 1529514 1575284 1690066 2172942 2362926 2535099 2756747 3059028 3380132 3544389 4345884 4725852 5070198 5513494 7088778 7605297 8270241 10140396 11026988 14177556 15210594 16540482 24023081 24810723 30421188 33080964 48046162 49621446 72069243 96092324 99242892 144138486 168161567 216207729 288276972 336323134 432415458 504484701 672646268 864830916 1008969402 1513454103 2017938804 3026908206 6053816412