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98701244928 = 2934112131789
BaseRepresentation
bin101101111101100001…
…1010111101000000000
3100102202122210202020000
41123323003113220000
53104120004314203
6113202010120000
710062623511366
oct1337303275000
9312678722200
1098701244928
113894a309200
1217166a20000
1393cc71c310
144ac4785636
15287a1e34a3
hex16fb0d7a00

98701244928 has 1200 divisors, whose sum is σ = 373383992520. Its totient is φ = 25692733440.

The previous prime is 98701244921. The next prime is 98701244933. The reversal of 98701244928 is 82944210789.

It can be written as a sum of positive squares in 4 ways, for example, as 66663108864 + 32038136064 = 258192^2 + 178992^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98701244921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1109002708 + ... + 1109002796.

Almost surely, 298701244928 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 98701244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186691996260).

98701244928 is an abundant number, since it is smaller than the sum of its proper divisors (274682747592).

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

98701244928 is a wasteful number, since it uses less digits than its factorization.

98701244928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 98701244928 in words is "ninety-eight billion, seven hundred one million, two hundred forty-four thousand, nine hundred twenty-eight".