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9941226048 = 2632134132381
BaseRepresentation
bin10010100001000101…
…10001001001000000
3221122211011121102100
421100202301021000
5130324423213143
64322242550400
7501232012215
oct112042611100
927584147370
109941226048
1142416212a6
121b15368400
13c2577c5a0
146a4423b0c
153d2b4d6d3
hex2508b1240

9941226048 has 168 divisors, whose sum is σ = 31436057016. Its totient is φ = 2984140800.

The previous prime is 9941225993. The next prime is 9941226091. The reversal of 9941226048 is 8406221499.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 9934507584 = 2592^2 + 99672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9941225994 and 9941226012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290818 + ... + 323198.

It is an arithmetic number, because the mean of its divisors is an integer number (187119387).

Almost surely, 29941226048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9941226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718028508).

9941226048 is an abundant number, since it is smaller than the sum of its proper divisors (21494830968).

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

9941226048 is a wasteful number, since it uses less digits than its factorization.

9941226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32453 (or 32440 counting only the distinct ones).

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

The square root of 9941226048 is about 99705.6971692190. The cubic root of 9941226048 is about 2150.2055724113.

The spelling of 9941226048 in words is "nine billion, nine hundred forty-one million, two hundred twenty-six thousand, forty-eight".