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90909990000 = 2432541636197
BaseRepresentation
bin101010010101010101…
…0000101110001110000
322200122200011222201200
41110222222011301300
52442140424140000
6105432524331200
76365556110424
oct1245252056160
9280580158650
1090909990000
1135611357045
12157516a3b00
13875a505abb
144585ad8b84
1525711cd500
hex152aa85c70

90909990000 has 300 divisors, whose sum is σ = 319927446696. Its totient is φ = 24090048000.

The previous prime is 90909989983. The next prime is 90909990097. The reversal of 90909990000 is 9990909.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14666902 + ... + 14673098.

Almost surely, 290909990000 is an apocalyptic number.

90909990000 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 90909990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159963723348).

90909990000 is an abundant number, since it is smaller than the sum of its proper divisors (229017456696).

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

90909990000 is a wasteful number, since it uses less digits than its factorization.

90909990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The spelling of 90909990000 in words is "ninety billion, nine hundred nine million, nine hundred ninety thousand".