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8950011840 = 2633571121223
BaseRepresentation
bin10000101010111011…
…00101011111000000
3212002202000201011000
420111131211133000
5121312200334330
64040033452000
7434534562660
oct102535453700
925082021130
108950011840
113883059400
121899411000
13ac82ca3c3
1460c9221a0
15375b05560
hex2157657c0

8950011840 has 672 divisors, whose sum is σ = 39695201280. Its totient is φ = 1858222080.

The previous prime is 8950011821. The next prime is 8950011869. The reversal of 8950011840 is 481100598.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×89500118402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8950011795 and 8950011804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7317469 + ... + 7318691.

It is an arithmetic number, because the mean of its divisors is an integer number (59070240).

Almost surely, 28950011840 is an apocalyptic number.

8950011840 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 8950011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19847600640).

8950011840 is an abundant number, since it is smaller than the sum of its proper divisors (30745189440).

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

8950011840 is a wasteful number, since it uses less digits than its factorization.

8950011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8950011840 is about 94604.5022184462. The cubic root of 8950011840 is about 2076.2255760763.

The spelling of 8950011840 in words is "eight billion, nine hundred fifty million, eleven thousand, eight hundred forty".