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117180243856 = 241322922272
BaseRepresentation
bin110110100100001111…
…1001001111110010000
3102012110111022011020201
41231020133021332100
53404441120300411
6125455403144544
711315556432004
oct1551037117620
9365414264221
10117180243856
1145772213645
121a863515154
13b085c60a00
145958a5c704
1530ac6673c1
hex1b487c9f90

117180243856 has 135 divisors (see below), whose sum is σ = 255740808531. Its totient is φ = 51988215552.

The previous prime is 117180243727. The next prime is 117180243923. The reversal of 117180243856 is 658342081711.

The square root of 117180243856 is 342316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15025856400 + 102154387456 = 122580^2 + 319616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 516212415 + ... + 516212641.

Almost surely, 2117180243856 is an apocalyptic number.

117180243856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117180243856 is the 342316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117180243856

117180243856 is an abundant number, since it is smaller than the sum of its proper divisors (138560564675).

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

117180243856 is an equidigital number, since it uses as much as digits as its factorization.

117180243856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 117180243856 in words is "one hundred seventeen billion, one hundred eighty million, two hundred forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 227 232 338 377 454 464 676 754 841 908 1352 1508 1682 1816 2704 2951 3016 3364 3632 4901 5902 6032 6583 6728 9802 10933 11804 13166 13456 19604 21866 23608 26332 38363 39208 43732 47216 51529 52664 76726 78416 85579 87464 103058 105328 142129 153452 171158 174928 190907 206116 284258 306904 342316 381814 412232 568516 613808 669877 684632 763628 824464 1112527 1137032 1339754 1369264 1494341 1527256 2225054 2274064 2481791 2679508 2988682 3054512 4450108 4963582 5359016 5977364 8708401 8900216 9927164 10718032 11954728 17416802 17800432 19426433 19854328 23909456 32263283 34833604 38852866 39708656 43335889 64526566 69667208 77705732 86671778 129053132 139334416 155411464 173343556 252543629 258106264 310822928 346687112 505087258 516212528 563366557 693374224 1010174516 1126733114 2020349032 2253466228 4040698064 4506932456 7323765241 9013864912 14647530482 29295060964 58590121928 117180243856