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8990213339520 = 2732573159121909
BaseRepresentation
bin1000001011010011001001…
…1110001111100110000000
31011211110022102110222000200
42002310302132033212000
52134243424103331040
631042014052245200
71615343603346360
oct202646236174600
934743272428020
108990213339520
112956801068276
121012444310800
13502a0944a42a
142311b30189a0
15108cc9410630
hex82d3278f980

8990213339520 has 768 divisors, whose sum is σ = 37244772864000. Its totient is φ = 1954897182720.

The previous prime is 8990213339509. The next prime is 8990213339533. The reversal of 8990213339520 is 259333120998.

It is a happy number.

8990213339520 is a `hidden beast` number, since 8 + 9 + 90 + 21 + 3 + 3 + 3 + 9 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73684326 + ... + 73806234.

It is an arithmetic number, because the mean of its divisors is an integer number (48495798000).

Almost surely, 28990213339520 is an apocalyptic number.

8990213339520 is a gapful number since it is divisible by the number (80) 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 8990213339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18622386432000).

8990213339520 is an abundant number, since it is smaller than the sum of its proper divisors (28254559524480).

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

8990213339520 is a wasteful number, since it uses less digits than its factorization.

8990213339520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122031 (or 122016 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 8990213339520 in words is "eight trillion, nine hundred ninety billion, two hundred thirteen million, three hundred thirty-nine thousand, five hundred twenty".