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191998119456 = 253211134661959
BaseRepresentation
bin1011001011001111111…
…0101100111000100000
3200100120200100000222100
42302303332230320200
511121203004310311
6224111442010400
716604615042133
oct2626376547040
9610520300870
10191998119456
1174475a29990
1231263946a00
131514a59b110
14941548821a
154edac06a56
hex2cb3face20

191998119456 has 144 divisors (see below), whose sum is σ = 641448400320. Its totient is φ = 53705756160.

The previous prime is 191998119451. The next prime is 191998119457. The reversal of 191998119456 is 654911899191.

It is a happy number.

191998119456 is a `hidden beast` number, since 1 + 9 + 1 + 99 + 81 + 19 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 191998119393 and 191998119402.

It is not an unprimeable number, because it can be changed into a prime (191998119451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289796 + ... + 2372163.

It is an arithmetic number, because the mean of its divisors is an integer number (4454502780).

Almost surely, 2191998119456 is an apocalyptic number.

191998119456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

191998119456 is an abundant number, since it is smaller than the sum of its proper divisors (449450280864).

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

191998119456 is a wasteful number, since it uses less digits than its factorization.

191998119456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661999 (or 4661988 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 63.

The spelling of 191998119456 in words is "one hundred ninety-one billion, nine hundred ninety-eight million, one hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 4661959 9323918 13985877 18647836 27971754 37295672 41957631 51281549 55943508 60605467 74591344 83915262 102563098 111887016 121210934 149182688 153844647 167830524 181816401 205126196 223774032 242421868 307689294 335661048 363632802 410252392 447548064 461533941 484843736 545449203 615378588 666660137 671322096 727265604 820504784 923067882 969687472 1090898406 1230757176 1333320274 1342644192 1454531208 1641009568 1846135764 1939374944 1999980411 2181796812 2461514352 2666640548 2909062416 3692271528 3999960822 4363593624 4923028704 5333281096 5818124832 5999941233 7384543056 7999921644 8727187248 10666562192 11999882466 14769086112 15999843288 17454374496 21333124384 23999764932 31999686576 47999529864 63999373152 95999059728 191998119456