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98429304756 = 223197121128817
BaseRepresentation
bin101101110101011010…
…1111111111110110100
3100102001201002202102210
41123222311333332310
53103040400223011
6113115013333420
710053112200036
oct1335265777664
9312051082383
1098429304756
113881a85a562
12170ab937270
139388297383
144a9a5d7c56
1528613c86a6
hex16ead7ffb4

98429304756 has 96 divisors (see below), whose sum is σ = 246331653120. Its totient is φ = 30498854400.

The previous prime is 98429304731. The next prime is 98429304773. The reversal of 98429304756 is 65740392489.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 98429304696 and 98429304705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3401260 + ... + 3430076.

It is an arithmetic number, because the mean of its divisors is an integer number (2565954720).

Almost surely, 298429304756 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 98429304756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123165826560).

98429304756 is an abundant number, since it is smaller than the sum of its proper divisors (147902348364).

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

98429304756 is a wasteful number, since it uses less digits than its factorization.

98429304756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29125 (or 29123 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 98429304756 in words is "ninety-eight billion, four hundred twenty-nine million, three hundred four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 211 213 228 284 422 426 633 844 852 1266 1349 2532 2698 4009 4047 5396 8018 8094 12027 14981 16036 16188 24054 28817 29962 44943 48108 57634 59924 86451 89886 115268 172902 179772 284639 345804 547523 569278 853917 1095046 1138556 1642569 1707834 2046007 2190092 3285138 3415668 4092014 6080387 6138021 6570276 8184028 12160774 12276042 18241161 24321548 24552084 36482322 38874133 72964644 77748266 115527353 116622399 155496532 231054706 233244798 346582059 431707477 462109412 466489596 693164118 863414954 1295122431 1386328236 1726829908 2590244862 5180489724 8202442063 16404884126 24607326189 32809768252 49214652378 98429304756