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8942469120 = 21433513311
BaseRepresentation
bin10000101010000001…
…10100000000000000
3212002012211111111000
420111000310000000
5121303233002440
64035204052000
7434413506354
oct102500640000
925065744430
108942469120
113879877452
121896994000
13ac6889160
1460b91b464
15375115730
hex215034000

8942469120 has 480 divisors, whose sum is σ = 34350301440. Its totient is φ = 2194145280.

The previous prime is 8942469103. The next prime is 8942469127. The reversal of 8942469120 is 219642498.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8942469127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28753765 + ... + 28754075.

It is an arithmetic number, because the mean of its divisors is an integer number (71563128).

Almost surely, 28942469120 is an apocalyptic number.

8942469120 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 8942469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175150720).

8942469120 is an abundant number, since it is smaller than the sum of its proper divisors (25407832320).

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

8942469120 is a wasteful number, since it uses less digits than its factorization.

8942469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8942469120 is about 94564.6293283065. The cubic root of 8942469120 is about 2075.6421582426.

The spelling of 8942469120 in words is "eight billion, nine hundred forty-two million, four hundred sixty-nine thousand, one hundred twenty".