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318935290368 = 2934313733517
BaseRepresentation
bin1001010010000100000…
…01100101001000000000
31010111020011000102221210
410221002001211020000
520211134413242433
6402303350050120
732020341144462
oct4510201451000
91114204012853
10318935290368
11113294725202
125198a949940
13240c9a60836
1411617c74132
158469c15463
hex4a42065200

318935290368 has 160 divisors (see below), whose sum is σ = 870303779136. Its totient is φ = 103734263808.

The previous prime is 318935290367. The next prime is 318935290393. The reversal of 318935290368 is 863092539813.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (318935290367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90682146 + ... + 90685662.

Almost surely, 2318935290368 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 318935290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435151889568).

318935290368 is an abundant number, since it is smaller than the sum of its proper divisors (551368488768).

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

318935290368 is a wasteful number, since it uses less digits than its factorization.

318935290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 318935290368 in words is "three hundred eighteen billion, nine hundred thirty-five million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1373 1376 1536 2064 2746 2752 3517 4119 4128 5492 5504 7034 8238 8256 10551 10984 11008 14068 16476 16512 21102 21968 22016 28136 32952 33024 42204 43936 56272 59039 65904 66048 84408 87872 112544 118078 131808 151231 168816 175744 177117 225088 236156 263616 302462 337632 351488 354234 450176 453693 472312 527232 604924 675264 702976 708468 900352 907386 944624 1054464 1209848 1350528 1416936 1800704 1814772 1889248 2108928 2419696 2701056 2833872 3629544 3778496 4828841 4839392 5402112 5667744 7259088 7556992 9657682 9678784 11335488 14486523 14518176 15113984 19315364 19357568 22670976 28973046 29036352 30227968 38630728 38715136 45341952 57946092 58072704 77261456 77430272 90683904 115892184 116145408 154522912 207640163 231784368 232290816 309045824 415280326 463568736 618091648 622920489 830560652 927137472 1236183296 1245840978 1661121304 1854274944 2472366592 2491681956 3322242608 3708549888 4983363912 6644485216 7417099776 9966727824 13288970432 19933455648 26577940864 39866911296 53155881728 79733822592 106311763456 159467645184 318935290368