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48701228100 = 2235272343131179
BaseRepresentation
bin101101010110110100…
…011100010001000100
311122201001221201111220
4231112310130101010
51244220003244400
634212324200340
73342601415520
oct552664342104
9148631851456
1048701228100
1119721634548
129531b390b0
134791974a45
14250004cd80
1514008487a0
hexb56d1c444

48701228100 has 576 divisors, whose sum is σ = 174228848640. Its totient is φ = 10263052800.

The previous prime is 48701228029. The next prime is 48701228111. The reversal of 48701228100 is 182210784.

It is a happy number.

It is a super-3 number, since 3×487012281003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272073811 + ... + 272073989.

It is an arithmetic number, because the mean of its divisors is an integer number (302480640).

Almost surely, 248701228100 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 48701228100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87114424320).

48701228100 is an abundant number, since it is smaller than the sum of its proper divisors (125527620540).

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

48701228100 is a wasteful number, since it uses less digits than its factorization.

48701228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

Adding to 48701228100 its reverse (182210784), we get a palindrome (48883438884).

The spelling of 48701228100 in words is "forty-eight billion, seven hundred one million, two hundred twenty-eight thousand, one hundred".