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998560000000 = 21157792
BaseRepresentation
bin11101000011111101101…
…00000110100000000000
310112110110100210211211201
432201332310012200000
5112330022330000000
62042422050150544
7132100150645213
oct16417664064000
93473410724751
10998560000000
1135553a0a6652
1214163b882454
1373218b53534
143648b0c177a
151ae9511e96a
hexe87ed06800

998560000000 has 288 divisors, whose sum is σ = 2527776243720. Its totient is φ = 394368000000.

The previous prime is 998559999977. The next prime is 998560000013. The reversal of 998560000000 is 65899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 602325001216 + 396234998784 = 776096^2 + 629472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12639999961 + ... + 12640000039.

Almost surely, 2998560000000 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 998560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263888121860).

998560000000 is an abundant number, since it is smaller than the sum of its proper divisors (1529216243720).

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

998560000000 is an frugal number, since it uses more digits than its factorization.

998560000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

Adding to 998560000000 its reverse (65899), we get a palindrome (998560065899).

The spelling of 998560000000 in words is "nine hundred ninety-eight billion, five hundred sixty million", and thus it is an aban number.