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5920975104 = 28311739601
BaseRepresentation
bin1011000001110101…
…01110100100000000
3120021122100200220020
411200322232210000
544111232200404
62415311013440
7266504313042
oct54072564400
916248320806
105920975104
112569266260
121192b0a280
137348ba485
1440251ba92
15249c27ed9
hex160eae900

5920975104 has 144 divisors (see below), whose sum is σ = 17428321344. Its totient is φ = 1769472000.

The previous prime is 5920975103. The next prime is 5920975117. The reversal of 5920975104 is 4015790295.

It is not an unprimeable number, because it can be changed into a prime (5920975103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611904 + ... + 621504.

Almost surely, 25920975104 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 5920975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160672).

5920975104 is an abundant number, since it is smaller than the sum of its proper divisors (11507346240).

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

5920975104 is a wasteful number, since it uses less digits than its factorization.

5920975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 5920975104 is about 76947.8726411588. The cubic root of 5920975104 is about 1809.1076565558.

The spelling of 5920975104 in words is "five billion, nine hundred twenty million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 128 132 146 176 192 219 256 264 292 352 384 438 528 584 704 768 803 876 1056 1168 1408 1606 1752 2112 2336 2409 2816 3212 3504 4224 4672 4818 6424 7008 8448 9344 9601 9636 12848 14016 18688 19202 19272 25696 28032 28803 38404 38544 51392 56064 57606 76808 77088 102784 105611 115212 153616 154176 205568 211222 230424 307232 308352 316833 422444 460848 614464 616704 633666 700873 844888 921696 1228928 1267332 1401746 1689776 1843392 2102619 2457856 2534664 2803492 3379552 3686784 4205238 5069328 5606984 6759104 7373568 7709603 8410476 10138656 11213968 13518208 15419206 16820952 20277312 22427936 23128809 27036416 30838412 33641904 40554624 44855872 46257618 61676824 67283808 81109248 89711744 92515236 123353648 134567616 179423488 185030472 246707296 269135232 370060944 493414592 538270464 740121888 986829184 1480243776 1973658368 2960487552 5920975104