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6131404416 = 27317939247
BaseRepresentation
bin1011011010111010…
…11100111010000000
3120211022022121122110
411231131130322000
5100024114420131
62452225135320
7304641035424
oct55535347200
916738277573
106131404416
112667021985
12123148a540
13769386867
14422456b84
1525d442646
hex16d75ce80

6131404416 has 64 divisors (see below), whose sum is σ = 17244593280. Its totient is φ = 1923575808.

The previous prime is 6131404403. The next prime is 6131404427. The reversal of 6131404416 is 6144041316.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×61314044162 = 75188240225088602112, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 463096 + ... + 476151.

It is an arithmetic number, because the mean of its divisors is an integer number (269446770).

Almost surely, 26131404416 is an apocalyptic number.

It is an amenable number.

6131404416 is an abundant number, since it is smaller than the sum of its proper divisors (11113188864).

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

6131404416 is a wasteful number, since it uses less digits than its factorization.

6131404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939281 (or 939269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6131404416 is about 78303.2848353120. The cubic root of 6131404416 is about 1830.2903394334.

The spelling of 6131404416 in words is "six billion, one hundred thirty-one million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 939247 1878494 2817741 3756988 5635482 7513976 11270964 15027952 15967199 22541928 30055904 31934398 45083856 47901597 60111808 63868796 90167712 95803194 120223616 127737592 180335424 191606388 255475184 360670848 383212776 510950368 766425552 1021900736 1532851104 2043801472 3065702208 6131404416