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1317018618112 = 28311071977873
BaseRepresentation
bin10011001010100100011…
…011010100100100000000
311122220110021212211101111
4103022210123110210000
5133034223231234422
62445010251413104
7164102643354661
oct23124433244400
94586407784344
101317018618112
114685a974793a
121932b6a54194
139726ac08c82
1447a5b913368
15243d3078a77
hex132a46d4900

1317018618112 has 144 divisors (see below), whose sum is σ = 2753310776832. Its totient is φ = 628026900480.

The previous prime is 1317018618107. The next prime is 1317018618133. The reversal of 1317018618112 is 2118168107131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167279008 + ... + 167286880.

It is an arithmetic number, because the mean of its divisors is an integer number (19120213728).

Almost surely, 21317018618112 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 1317018618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376655388416).

1317018618112 is an abundant number, since it is smaller than the sum of its proper divisors (1436292158720).

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

1317018618112 is a wasteful number, since it uses less digits than its factorization.

1317018618112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 40.

The spelling of 1317018618112 in words is "one trillion, three hundred seventeen billion, eighteen million, six hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 128 197 214 248 256 394 428 496 788 856 992 1576 1712 1984 3152 3317 3424 3968 6107 6304 6634 6848 7873 7936 12214 12608 13268 13696 15746 21079 24428 25216 26536 27392 31492 42158 48856 50432 53072 62984 84316 97712 106144 125968 168632 195424 212288 244063 251936 337264 390848 424576 488126 503872 653449 674528 781696 842411 849152 976252 1007744 1306898 1349056 1550981 1563392 1684822 1952504 2015488 2613796 2698112 3101962 3369644 3905008 5227592 5396224 6203924 6739288 7810016 10455184 12407848 13478576 15620032 20910368 24815696 26114741 26957152 31240064 41820736 48080411 49631392 52229482 53914304 62480128 83641472 96160822 99262784 104458964 107828608 165954967 167282944 192321644 198525568 208917928 215657216 331909934 384643288 397051136 417835856 663819868 769286576 835671712 1327639736 1538573152 1671343424 2655279472 3077146304 3342686848 5144603977 5310558944 6154292608 6685373696 10289207954 10621117888 12308585216 20578415908 21242235776 41156831816 42484471552 82313663632 164627327264 329254654528 658509309056 1317018618112