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117427057306000 = 24531330714711483
BaseRepresentation
bin11010101100110010011110…
…000010011010100110010000
3120101202220202112011200120121
4122230302132002122212100
5110342411103132243000
61053425125001320024
733506552643141121
oct3254623602324620
9511686675150517
10117427057306000
1134463598594352
1211206197a96014
13506a429a61650
1420dd6dda18048
15d89831e0eb1a
hex6acc9e09a990

117427057306000 has 160 divisors (see below), whose sum is σ = 306776104322688. Its totient is φ = 43216449523200.

The previous prime is 117427057305991. The next prime is 117427057306001. The reversal of 117427057306000 is 603750724711.

It is a happy number.

It is a super-2 number, since 2×1174270573060002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117427057306001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626259 + ... + 15337741.

Almost surely, 2117427057306000 is an apocalyptic number.

117427057306000 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 117427057306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153388052161344).

117427057306000 is an abundant number, since it is smaller than the sum of its proper divisors (189349047016688).

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

117427057306000 is a wasteful number, since it uses less digits than its factorization.

117427057306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14711826 (or 14711810 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 117427057306000 in words is "one hundred seventeen trillion, four hundred twenty-seven billion, fifty-seven million, three hundred six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 307 325 400 500 520 614 650 1000 1040 1228 1300 1535 1625 2000 2456 2600 3070 3250 3991 4912 5200 6140 6500 7675 7982 12280 13000 15350 15964 19955 24560 26000 30700 31928 38375 39910 61400 63856 76750 79820 99775 122800 153500 159640 199550 307000 319280 399100 498875 614000 798200 997750 1596400 1995500 3991000 7982000 14711483 29422966 58845932 73557415 117691864 147114830 191249279 235383728 294229660 367787075 382498558 588459320 735574150 764997116 956246395 1176918640 1471148300 1529994232 1838935375 1912492790 2942296600 3059988464 3677870750 3824985580 4516425281 4781231975 5884593200 7355741500 7649971160 9032850562 9562463950 14711483000 15299942320 18065701124 19124927900 22582126405 23906159875 29422966000 36131402248 38249855800 45164252810 47812319750 58713528653 72262804496 76499711600 90328505620 95624639500 112910632025 117427057306 180657011240 191249279000 225821264050 234854114612 293567643265 361314022480 382498558000 451642528100 469708229224 564553160125 587135286530 903285056200 939416458448 1129106320250 1174270573060 1467838216325 1806570112400 2258212640500 2348541146120 2935676432650 4516425281000 4697082292240 5871352865300 7339191081625 9032850562000 11742705730600 14678382163250 23485411461200 29356764326500 58713528653000 117427057306000