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9609990390 = 23357111331237
BaseRepresentation
bin10001111001100110…
…01101000011110110
3220210201220002112000
420330303031003312
5124140124143030
64225331240130
7460100366460
oct107463150366
926721802460
109609990390
114091653020
121a42449046
13ba1c66260
1467243d130
153b3a1e860
hex23cccd0f6

9609990390 has 768 divisors, whose sum is σ = 36514437120. Its totient is φ = 1735603200.

The previous prime is 9609990389. The next prime is 9609990409. The reversal of 9609990390 is 930999069.

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 383 ways as a sum of consecutive naturals, for example, 259729452 + ... + 259729488.

It is an arithmetic number, because the mean of its divisors is an integer number (47544840).

Almost surely, 29609990390 is an apocalyptic number.

9609990390 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 9609990390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257218560).

9609990390 is an abundant number, since it is smaller than the sum of its proper divisors (26904446730).

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

9609990390 is a wasteful number, since it uses less digits than its factorization.

9609990390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 9609990390 is about 98030.5584499038. The cubic root of 9609990390 is about 2126.0541309327.

It can be divided in two parts, 9609 and 990390, that added together give a palindrome (999999).

The spelling of 9609990390 in words is "nine billion, six hundred nine million, nine hundred ninety thousand, three hundred ninety".