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1317317027008 = 261091312515743
BaseRepresentation
bin10011001010110110001…
…101101010010011000000
311122221020002101120102211
4103022312031222103000
5133040331124331013
62445100031351504
7164113225656523
oct23126615522300
94587202346384
101317317027008
11468742134964
1219337a982594
13972b799a798
1447a893d0bba
15243ee37123d
hex132b636a4c0

1317317027008 has 112 divisors (see below), whose sum is σ = 2669225771520. Its totient is φ = 644941440000.

The previous prime is 1317317026951. The next prime is 1317317027009. The reversal of 1317317027008 is 8007207137131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1317317027009) 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, 229374985 + ... + 229380727.

It is an arithmetic number, because the mean of its divisors is an integer number (23832372960).

Almost surely, 21317317027008 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 1317317027008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334612885760).

1317317027008 is an abundant number, since it is smaller than the sum of its proper divisors (1351908744512).

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

1317317027008 is a wasteful number, since it uses less digits than its factorization.

1317317027008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The spelling of 1317317027008 in words is "one trillion, three hundred seventeen billion, three hundred seventeen million, twenty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 64 109 131 218 251 262 436 502 524 872 1004 1048 1744 2008 2096 3488 4016 4192 5743 6976 8032 8384 11486 14279 16064 22972 27359 28558 32881 45944 54718 57116 65762 91888 109436 114232 131524 183776 218872 228464 263048 367552 437744 456928 526096 625987 752333 875488 913856 1052192 1251974 1441493 1504666 1750976 2104384 2503948 2882986 3009332 3584029 5007896 5765972 6018664 7168058 10015792 11531944 12037328 14336116 20031584 23063888 24074656 28672232 40063168 46127776 48149312 57344464 82004297 92255552 114688928 157122737 164008594 188835583 229377856 314245474 328017188 377671166 628490948 656034376 755342332 1256981896 1312068752 1510684664 2513963792 2624137504 3021369328 5027927584 5248275008 6042738656 10055855168 12085477312 20583078547 41166157094 82332314188 164664628376 329329256752 658658513504 1317317027008