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98642014016 = 2671317994621
BaseRepresentation
bin101101111011110000…
…1011010111101000000
3100102121112100111200112
41123313201122331000
53104004323422031
6113152052410452
710061304166460
oct1336741327500
9312545314615
1098642014016
1138919933137
121714b016a28
1393c0381440
144aba967ba0
152874de362b
hex16f785af40

98642014016 has 112 divisors (see below), whose sum is σ = 242262599040. Its totient is φ = 38804797440.

The previous prime is 98642014013. The next prime is 98642014027. The reversal of 98642014016 is 61041024689.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98642014013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995186 + ... + 1089806.

It is an arithmetic number, because the mean of its divisors is an integer number (2163058920).

Almost surely, 298642014016 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 98642014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121131299520).

98642014016 is an abundant number, since it is smaller than the sum of its proper divisors (143620585024).

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

98642014016 is a wasteful number, since it uses less digits than its factorization.

98642014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94832 (or 94822 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 98642014016 in words is "ninety-eight billion, six hundred forty-two million, fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 179 182 208 224 358 364 416 448 716 728 832 1253 1432 1456 2327 2506 2864 2912 4654 5012 5728 5824 9308 10024 11456 16289 18616 20048 32578 37232 40096 65156 74464 80192 94621 130312 148928 189242 260624 378484 521248 662347 756968 1042496 1230073 1324694 1513936 2460146 2649388 3027872 4920292 5298776 6055744 8610511 9840584 10597552 16937159 17221022 19681168 21195104 33874318 34442044 39362336 42390208 67748636 68884088 78724672 118560113 135497272 137768176 220183067 237120226 270994544 275536352 440366134 474240452 541989088 551072704 880732268 948480904 1083978176 1541281469 1761464536 1896961808 3082562938 3522929072 3793923616 6165125876 7045858144 7587847232 12330251752 14091716288 24660503504 49321007008 98642014016