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191230615268 = 227112413893539
BaseRepresentation
bin1011001000011000111…
…0111001111011100100
3200021121012010210011022
42302012032321323210
511113120014142033
6223503343430312
716546605260450
oct2620616717344
9607535123138
10191230615268
1174111773700
123108a8b5398
1315057585224
14938157b660
154e9364d098
hex2c863b9ee4

191230615268 has 144 divisors (see below), whose sum is σ = 431873769600. Its totient is φ = 72480883200.

The previous prime is 191230615249. The next prime is 191230615283. The reversal of 191230615268 is 862516032191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54033443 + ... + 54036981.

It is an arithmetic number, because the mean of its divisors is an integer number (2999123400).

Almost surely, 2191230615268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191230615268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215936884800).

191230615268 is an abundant number, since it is smaller than the sum of its proper divisors (240643154332).

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

191230615268 is a wasteful number, since it uses less digits than its factorization.

191230615268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 191230615268 in words is "one hundred ninety-one billion, two hundred thirty million, six hundred fifteen thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 121 154 164 242 287 308 389 451 484 574 778 847 902 1148 1556 1694 1804 2723 3157 3388 3539 4279 4961 5446 6314 7078 8558 9922 10892 12628 14156 15949 17116 19844 24773 29953 31898 34727 38929 47069 49546 59906 63796 69454 77858 94138 99092 111643 119812 138908 145099 155716 175439 188276 223286 272503 290198 329483 350878 428219 446572 545006 580396 658966 701756 856438 1015693 1090012 1228073 1317932 1376671 1596089 1712876 1929829 2031386 2456146 2753342 2997533 3192178 3859658 4062772 4912292 5506684 5995066 6384356 7719316 9636697 11172623 11990132 13508803 15143381 17556979 19273394 22345246 27017606 30286762 35113958 38546788 44690492 54035212 56443511 60573524 70227916 106003667 112887022 122898853 166577191 212007334 225774044 245797706 333154382 395104577 424014668 491595412 620878621 666308764 790209154 1166040337 1241757242 1580418308 2332080674 2483514484 4346150347 4664161348 6829664831 8692300694 13659329662 17384601388 27318659324 47807653817 95615307634 191230615268