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9940462920 = 23325233771457
BaseRepresentation
bin10010100000111111…
…10110110101001000
3221122202201211121100
421100133312311020
5130324224303140
64322214341400
7501222353313
oct112037666510
927582654540
109940462920
11424114aa13
121b1505a860
13c2557312b
146a42a597a
153d2a4c530
hex2507f6d48

9940462920 has 384 divisors, whose sum is σ = 35186711040. Its totient is φ = 2426941440.

The previous prime is 9940462843. The next prime is 9940462927. The reversal of 9940462920 is 292640499.

It is a happy number.

9940462920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (9940462927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21751332 + ... + 21751788.

It is an arithmetic number, because the mean of its divisors is an integer number (91632060).

Almost surely, 29940462920 is an apocalyptic number.

9940462920 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 9940462920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593355520).

9940462920 is an abundant number, since it is smaller than the sum of its proper divisors (25246248120).

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

9940462920 is a wasteful number, since it uses less digits than its factorization.

9940462920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9940462920 is about 99701.8701930912. The cubic root of 9940462920 is about 2150.1505515632.

The spelling of 9940462920 in words is "nine billion, nine hundred forty million, four hundred sixty-two thousand, nine hundred twenty".