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319092644112 = 243111789399433
BaseRepresentation
bin1001010010010110110…
…01110101100100010000
31010111122010002211201020
410221023121311210100
520212000204102422
6402331130435440
732024261502654
oct4511331654420
91114563084636
10319092644112
1111336552a420
1251a13592b80
1324123535968
1411630b14a64
15847894895c
hex4a4b675910

319092644112 has 160 divisors (see below), whose sum is σ = 962859623040. Its totient is φ = 89984040960.

The previous prime is 319092644093. The next prime is 319092644147. The reversal of 319092644112 is 211446290913.

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 31 ways as a sum of consecutive naturals, for example, 599148 + ... + 998580.

It is an arithmetic number, because the mean of its divisors is an integer number (6017872644).

Almost surely, 2319092644112 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 319092644112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481429811520).

319092644112 is an abundant number, since it is smaller than the sum of its proper divisors (643766978928).

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

319092644112 is a wasteful number, since it uses less digits than its factorization.

319092644112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399561 (or 399555 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 319092644112 in words is "three hundred nineteen billion, ninety-two million, six hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 89 102 132 136 176 178 187 204 264 267 272 356 374 408 528 534 561 712 748 816 979 1068 1122 1424 1496 1513 1958 2136 2244 2937 2992 3026 3916 4272 4488 4539 5874 6052 7832 8976 9078 11748 12104 15664 16643 18156 23496 24208 33286 36312 46992 49929 66572 72624 99858 133144 199716 266288 399432 399433 798864 798866 1198299 1597732 2396598 3195464 4393763 4793196 6390928 6790361 8787526 9586392 13181289 13580722 17575052 19172784 20371083 26362578 27161444 35150104 35549537 40742166 52725156 54322888 70300208 71099074 74693971 81484332 105450312 106648611 108645776 142198148 149387942 162968664 210900624 213297222 224081913 284396296 298775884 325937328 391044907 426594444 448163826 568792592 597551768 604342129 782089814 853188888 896327652 1173134721 1195103536 1208684258 1564179628 1706377776 1792655304 1813026387 2346269442 2417368516 3128359256 3585310608 3626052774 4692538884 4834737032 6256718512 6647763419 7252105548 9385077768 9669474064 13295526838 14504211096 18770155536 19943290257 26591053676 29008422192 39886580514 53182107352 79773161028 106364214704 159546322056 319092644112