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998981015040 = 293251719241557
BaseRepresentation
bin11101000100101111110…
…10001001011000000000
310112111112201000121220100
432202113322021120000
5112331403114440130
62042531530042400
7132113452344261
oct16422772113000
93474481017810
10998981015040
11355735815468
12141738879400
1373285142268
14364cad96968
151aebc084c60
hexe897e89600

998981015040 has 960 divisors, whose sum is σ = 3879022530240. Its totient is φ = 236118343680.

The previous prime is 998981014981. The next prime is 998981015101. The reversal of 998981015040 is 40510189899.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1793502442 + ... + 1793502998.

It is an arithmetic number, because the mean of its divisors is an integer number (4040648469).

Almost surely, 2998981015040 is an apocalyptic number.

998981015040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998981015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939511265120).

998981015040 is an abundant number, since it is smaller than the sum of its proper divisors (2880041515200).

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

998981015040 is a wasteful number, since it uses less digits than its factorization.

998981015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 998981015040 in words is "nine hundred ninety-eight billion, nine hundred eighty-one million, fifteen thousand, forty".