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198421738024512 = 26316333191910263
BaseRepresentation
bin101101000111011010101001…
…001101011110111001000000
3222000112221012002021122021010
4231013122221031132321000
5202001420204413241022
61542001404342000520
756536332433006302
oct5507325115367100
9860487162248233
10198421738024512
11582502062a8482
121a307566716140
138694121b41652
1436dd9403a1972
1517e16110db50c
hexb476a935ee40

198421738024512 has 112 divisors (see below), whose sum is σ = 528371075701760. Its totient is φ = 65714968908288.

The previous prime is 198421738024501. The next prime is 198421738024577. The reversal of 198421738024512 is 215420837124891.

198421738024512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1984217380245122 (a number of 29 digits) contains 22 as substring.

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, 102916293 + ... + 104826555.

Almost surely, 2198421738024512 is an apocalyptic number.

198421738024512 is a gapful number since it is divisible by the number (12) 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 198421738024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264185537850880).

198421738024512 is an abundant number, since it is smaller than the sum of its proper divisors (329949337677248).

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

198421738024512 is a wasteful number, since it uses less digits than its factorization.

198421738024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913760 (or 1913750 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 198421738024512 in words is "one hundred ninety-eight trillion, four hundred twenty-one billion, seven hundred thirty-eight million, twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3319 3912 5216 6638 7824 9957 10432 13276 15648 19914 26552 31296 39828 53104 79656 106208 159312 212416 318624 540997 637248 1081994 1622991 1910263 2163988 3245982 3820526 4327976 5730789 6491964 7641052 8655952 11461578 12983928 15282104 17311904 22923156 25967856 30564208 34623808 45846312 51935712 61128416 91692624 103871424 122256832 183385248 311372869 366770496 622745738 934118607 1245491476 1868237214 2490982952 3736474428 4981965904 6340162897 7472948856 9963931808 12680325794 14945897712 19020488691 19927863616 25360651588 29891795424 38040977382 50721303176 59783590848 76081954764 101442606352 152163909528 202885212704 304327819056 405770425408 608655638112 1033446552211 1217311276224 2066893104422 3100339656633 4133786208844 6200679313266 8267572417688 12401358626532 16535144835376 24802717253064 33070289670752 49605434506128 66140579341504 99210869012256 198421738024512