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198462123046096 = 24721337526279549
BaseRepresentation
bin101101001000000000010000…
…010110000111010011010000
3222000200210102120211022002021
4231020000100112013103100
5202003100411444433341
61542032123553101224
756542262264016100
oct5510002026072320
9860623376738067
10198462123046096
115826634a620978
121a313357557814
138697b898bc920
143701891b55200
1517e26c67c89d1
hexb480105874d0

198462123046096 has 120 divisors (see below), whose sum is σ = 494725933300200. Its totient is φ = 76390528951296.

The previous prime is 198462123046087. The next prime is 198462123046111. The reversal of 198462123046096 is 690640321264891.

It can be written as a sum of positive squares in 4 ways, for example, as 66498088292496 + 131964034753600 = 8154636^2 + 11487560^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262762671 + ... + 263516878.

It is an arithmetic number, because the mean of its divisors is an integer number (4122716110835).

Almost surely, 2198462123046096 is an apocalyptic number.

198462123046096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198462123046096 is an abundant number, since it is smaller than the sum of its proper divisors (296263810254104).

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

198462123046096 is a wasteful number, since it uses less digits than its factorization.

198462123046096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526279621 (or 526279608 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 198462123046096 in words is "one hundred ninety-eight trillion, four hundred sixty-two billion, one hundred twenty-three million, forty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 49 52 56 74 91 98 104 112 148 182 196 208 259 296 364 392 481 518 592 637 728 784 962 1036 1274 1456 1813 1924 2072 2548 3367 3626 3848 4144 5096 6734 7252 7696 10192 13468 14504 23569 26936 29008 47138 53872 94276 188552 377104 526279549 1052559098 2105118196 3683956843 4210236392 6841634137 7367913686 8420472784 13683268274 14735827372 19472343313 25787697901 27366536548 29471654744 38944686626 47891438959 51575395802 54733073096 58943309488 77889373252 95782877918 103150791604 109466146192 136306403191 155778746504 191565755836 206301583208 253140463069 272612806382 311557493008 335240072713 383131511672 412603166416 506280926138 545225612764 670480145426 766263023344 954144822337 1012561852276 1090451225528 1340960290852 1771983241483 1908289644674 2025123704552 2180902451056 2681920581704 3543966482966 3816579289348 4050247409104 5363841163408 7087932965932 7633158578696 12403882690381 14175865931864 15266317157392 24807765380762 28351731863728 49615530761524 99231061523048 198462123046096