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117027352354000 = 2453118839601813
BaseRepresentation
bin11010100110111110001101…
…110001000001110011010000
3120100100201001101210022100111
4122212332031301001303100
5110314334004200312000
61052521342401131104
733435642613123264
oct3246761561016320
9510321041708314
10117027352354000
113431a026563980
1211160827629a94
13503b82a5a912a
1420c8222ada0a4
15d7e23b397cba
hex6a6f8dc41cd0

117027352354000 has 160 divisors (see below), whose sum is σ = 308732315224320. Its totient is φ = 42550515648000.

The previous prime is 117027352353949. The next prime is 117027352354013. The reversal of 117027352354000 is 453253720711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194157094 + ... + 194758906.

It is an arithmetic number, because the mean of its divisors is an integer number (1929576970152).

Almost surely, 2117027352354000 is an apocalyptic number.

117027352354000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117027352354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154366157612160).

117027352354000 is an abundant number, since it is smaller than the sum of its proper divisors (191704962870320).

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

117027352354000 is a wasteful number, since it uses less digits than its factorization.

117027352354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610686 (or 610670 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 117027352354000 in words is "one hundred seventeen trillion, twenty-seven billion, three hundred fifty-two million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 8839 11000 17678 22000 35356 44195 70712 88390 97229 141424 176780 194458 220975 353560 388916 441950 486145 601813 707120 777832 883900 972290 1104875 1203626 1555664 1767800 1944580 2209750 2407252 2430725 3009065 3535600 3889160 4419500 4814504 4861450 6018130 6619943 7778320 8839000 9629008 9722900 12036260 12153625 13239886 15045325 17678000 19445800 24072520 24307250 26479772 30090650 33099715 38891600 48145040 48614500 52959544 60181300 66199430 75226625 97229000 105919088 120362600 132398860 150453250 165498575 194458000 240725200 264797720 300906500 330997150 529595440 601813000 661994300 827492875 1203626000 1323988600 1654985750 2647977200 3309971500 5319425107 6619943000 10638850214 13239886000 21277700428 26597125535 42555400856 53194251070 58513676177 85110801712 106388502140 117027352354 132985627675 212777004280 234054704708 265971255350 292568380885 425554008560 468109409416 531942510700 585136761770 664928138375 936218818832 1063885021400 1170273523540 1329856276750 1462841904425 2127770042800 2340547047080 2659712553500 2925683808850 4681094094160 5319425107000 5851367617700 7314209522125 10638850214000 11702735235400 14628419044250 23405470470800 29256838088500 58513676177000 117027352354000