Search a number
-
+
506384704740 = 223571304139089
BaseRepresentation
bin1110101111001101110…
…00010110010011100100
31210102001211011022121110
413113212320112103210
531244033441022430
61024344021345020
751404453654025
oct7274670262344
91712054138543
10506384704740
11185835a67692
1282183268170
13389a0b31285
141a71b174c4c
15d28b40c7b0
hex75e6e164e4

506384704740 has 96 divisors (see below), whose sum is σ = 1438356890880. Its totient is φ = 133086822400.

The previous prime is 506384704703. The next prime is 506384704751. The reversal of 506384704740 is 47407483605.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 506384704740.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12935116 + ... + 12974204.

It is an arithmetic number, because the mean of its divisors is an integer number (14982884280).

Almost surely, 2506384704740 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 506384704740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719178445440).

506384704740 is an abundant number, since it is smaller than the sum of its proper divisors (931972186140).

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

506384704740 is a wasteful number, since it uses less digits than its factorization.

506384704740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42213 (or 42211 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 506384704740 in words is "five hundred six billion, three hundred eighty-four million, seven hundred four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 3041 4260 6082 9123 12164 15205 18246 30410 36492 39089 45615 60820 78178 91230 117267 156356 182460 195445 215911 234534 390890 431822 469068 586335 647733 781780 863644 1079555 1172670 1295466 2159110 2345340 2590932 2775319 3238665 4318220 5550638 6477330 8325957 11101276 12954660 13876595 16651914 27753190 33303828 41629785 55506380 83259570 118869649 166519140 237739298 356608947 475478596 594348245 713217894 1188696490 1426435788 1783044735 2377392980 3566089470 7132178940 8439745079 16879490158 25319235237 33758980316 42198725395 50638470474 84397450790 101276940948 126596176185 168794901580 253192352370 506384704740