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13228841668 = 22731791031873
BaseRepresentation
bin11000101001000000…
…00001101011000100
31021010221101210012211
430110200001223010
5204043040413133
610024403553204
7645552204340
oct142440015304
937127353184
1013228841668
1156793775a9
12269238b804
13132a916983
148d6cd8620
155265a6bcd
hex314801ac4

13228841668 has 96 divisors (see below), whose sum is σ = 27940290560. Its totient is φ = 5361707520.

The previous prime is 13228841629. The next prime is 13228841671. The reversal of 13228841668 is 86614882231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7061980 + ... + 7063852.

Almost surely, 213228841668 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 13228841668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970145280).

13228841668 is an abundant number, since it is smaller than the sum of its proper divisors (14711448892).

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

13228841668 is a wasteful number, since it uses less digits than its factorization.

13228841668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2095 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The spelling of 13228841668 in words is "thirteen billion, two hundred twenty-eight million, eight hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 79 103 124 158 206 217 316 412 434 553 721 868 1106 1442 1873 2212 2449 2884 3193 3746 4898 6386 7492 8137 9796 12772 13111 16274 17143 22351 26222 32548 34286 44702 52444 56959 58063 68572 89404 113918 116126 147967 192919 227836 232252 252247 295934 385838 406441 504494 591868 771676 812882 1008988 1035769 1350433 1625764 1765729 2071538 2700866 3531458 4143076 4586977 5401732 5980489 7062916 9173954 11960978 15240601 18347908 23921956 30481202 32108839 41863423 60962404 64217678 83726846 106684207 128435356 167453692 213368414 426736828 472458631 944917262 1889834524 3307210417 6614420834 13228841668