Search a number
-
+
5869374984 = 23321117225643
BaseRepresentation
bin1010111011101011…
…11000111000001000
3120011001021010211200
411131311320320020
544010024444414
62410225024200
7265306602264
oct53565707010
916131233750
105869374984
112542122330
121179785060
13726cc1965
143d97290a4
15245434109
hex15dd78e08

5869374984 has 144 divisors (see below), whose sum is σ = 18422136720. Its totient is φ = 1673909760.

The previous prime is 5869374971. The next prime is 5869374997. The reversal of 5869374984 is 4894739685.

5869374984 is a `hidden beast` number, since 58 + 6 + 93 + 7 + 498 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5869374971) and next prime (5869374997).

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 35 ways as a sum of consecutive naturals, for example, 216067 + ... + 241709.

It is an arithmetic number, because the mean of its divisors is an integer number (127931505).

Almost surely, 25869374984 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 5869374984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211068360).

5869374984 is an abundant number, since it is smaller than the sum of its proper divisors (12552761736).

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

5869374984 is a wasteful number, since it uses less digits than its factorization.

5869374984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25700 (or 25676 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 5869374984 is about 76611.8462380329. The cubic root of 5869374984 is about 1803.8369780399.

The spelling of 5869374984 in words is "five billion, eight hundred sixty-nine million, three hundred seventy-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 289 306 374 396 408 561 578 612 748 792 867 1122 1156 1224 1496 1683 1734 2244 2312 2601 3179 3366 3468 4488 5202 6358 6732 6936 9537 10404 12716 13464 19074 20808 25432 25643 28611 38148 51286 57222 76296 76929 102572 114444 153858 205144 228888 230787 282073 307716 435931 461574 564146 615432 846219 871862 923148 1128292 1307793 1692438 1743724 1846296 2256584 2538657 2615586 3384876 3487448 3923379 4795241 5077314 5231172 6769752 7410827 7846758 9590482 10154628 10462344 14385723 14821654 15693516 19180964 20309256 22232481 28771446 29643308 31387032 38361928 43157169 44464962 57542892 59286616 66697443 81519097 86314338 88929924 115085784 133394886 163038194 172628676 177859848 244557291 266789772 326076388 345257352 489114582 533579544 652152776 733671873 978229164 1467343746 1956458328 2934687492 5869374984