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8991122448 = 2437113197809
BaseRepresentation
bin10000101111110100…
…11010010000010000
3212012121101100022010
420113322122100100
5121403211404243
64044102542520
7435544164660
oct102772322020
925177340263
108991122448
1138a4288410
1218ab137a40
13b039925c9
146141841a0
15379526433
hex217e9a410

8991122448 has 320 divisors, whose sum is σ = 30238064640. Its totient is φ = 2233958400.

The previous prime is 8991122431. The next prime is 8991122467. The reversal of 8991122448 is 8442211998.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8991122397 and 8991122406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11113468 + ... + 11114276.

It is an arithmetic number, because the mean of its divisors is an integer number (94493952).

Almost surely, 28991122448 is an apocalyptic number.

8991122448 is a gapful number since it is divisible by the number (88) 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 8991122448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119032320).

8991122448 is an abundant number, since it is smaller than the sum of its proper divisors (21246942192).

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

8991122448 is a wasteful number, since it uses less digits than its factorization.

8991122448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 8991122448 is about 94821.5294540222. The cubic root of 8991122448 is about 2079.3996701912.

The spelling of 8991122448 in words is "eight billion, nine hundred ninety-one million, one hundred twenty-two thousand, four hundred forty-eight".