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9836968050 = 2355272133141
BaseRepresentation
bin10010010100101010…
…00011100001110010
3221101112222202100000
421022111003201302
5130121230434200
64304040210430
7465524564100
oct111225034162
927345882300
109836968050
114198791768
121aa6469a16
13c09ca7970
14694644c70
153c8907300
hex24a543872

9836968050 has 864 divisors, whose sum is σ = 36306676224. Its totient is φ = 1959552000.

The previous prime is 9836968039. The next prime is 9836968061. The reversal of 9836968050 is 508696389.

It is an interprime number because it is at equal distance from previous prime (9836968039) and next prime (9836968061).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 239926030 + ... + 239926070.

It is an arithmetic number, because the mean of its divisors is an integer number (42021616).

Almost surely, 29836968050 is an apocalyptic number.

9836968050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9836968050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153338112).

9836968050 is an abundant number, since it is smaller than the sum of its proper divisors (26469708174).

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

9836968050 is a wasteful number, since it uses less digits than its factorization.

9836968050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9836968050 is about 99181.4904606701. The cubic root of 9836968050 is about 2142.6624248783.

The spelling of 9836968050 in words is "nine billion, eight hundred thirty-six million, nine hundred sixty-eight thousand, fifty".