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98204281344 = 29321317731321
BaseRepresentation
bin101101101110101101…
…1100110101000000000
3100101111000200101100100
41123131123212220000
53102110244000334
6113040414322400
710044410422101
oct1333533465000
9311430611310
1098204281344
11387148360a4
12170484b9400
13935078b320
144a787803a8
15284b779c99
hex16dd6e6a00

98204281344 has 480 divisors, whose sum is σ = 327855672144. Its totient is φ = 28028436480.

The previous prime is 98204281339. The next prime is 98204281369. The reversal of 98204281344 is 44318240289.

98204281344 is a `hidden beast` number, since 9 + 8 + 20 + 4 + 281 + 344 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71866886400 + 26337394944 = 268080^2 + 162288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98204281344.

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, 74340204 + ... + 74341524.

Almost surely, 298204281344 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 98204281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163927836072).

98204281344 is an abundant number, since it is smaller than the sum of its proper divisors (229651390800).

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

98204281344 is a wasteful number, since it uses less digits than its factorization.

98204281344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 98204281344 in words is "ninety-eight billion, two hundred four million, two hundred eighty-one thousand, three hundred forty-four".