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98993233920 = 213357241401
BaseRepresentation
bin101110000110001110…
…1001110000000000000
3100110112000020022211010
41130030131032000000
53110214231441140
6113251000320520
710103100414300
oct1341435160000
9313460208733
1098993233920
1138a8a110919
1217228773140
139448073979
144b11471600
152895b6d880
hex170c74e000

98993233920 has 672 divisors, whose sum is σ = 378403262496. Its totient is φ = 22020096000.

The previous prime is 98993233909. The next prime is 98993233943. The reversal of 98993233920 is 2933239989.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246865720 + ... + 246866120.

It is an arithmetic number, because the mean of its divisors is an integer number (563100093).

Almost surely, 298993233920 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 98993233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189201631248).

98993233920 is an abundant number, since it is smaller than the sum of its proper divisors (279410028576).

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

98993233920 is a wasteful number, since it uses less digits than its factorization.

98993233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 57.

The spelling of 98993233920 in words is "ninety-eight billion, nine hundred ninety-three million, two hundred thirty-three thousand, nine hundred twenty".