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1998935094240 = 25345724766973
BaseRepresentation
bin11101000101101001110…
…100001111001111100000
321002002121020001000220000
4131011221310033033200
5230222304341003430
64130144220220000
7264263321645400
oct35055164171740
97062536030800
101998935094240
1170081a826387
122834a739a600
13116663a50316
146ca6b288800
1536ee4779e60
hex1d169d0f3e0

1998935094240 has 720 divisors, whose sum is σ = 8381070637632. Its totient is φ = 447171508224.

The previous prime is 1998935094217. The next prime is 1998935094257. The reversal of 1998935094240 is 424905398991.

1998935094240 is a `hidden beast` number, since 1 + 9 + 9 + 89 + 3 + 509 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29813394 + ... + 29880366.

Almost surely, 21998935094240 is an apocalyptic number.

1998935094240 is a gapful number since it is divisible by the number (10) 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 1998935094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190535318816).

1998935094240 is an abundant number, since it is smaller than the sum of its proper divisors (6382135543392).

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

1998935094240 is a wasteful number, since it uses less digits than its factorization.

1998935094240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67061 (or 67037 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1998935094240 in words is "one trillion, nine hundred ninety-eight billion, nine hundred thirty-five million, ninety-four thousand, two hundred forty".