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4901480100 = 2235521121667
BaseRepresentation
bin1001001000010011…
…01010011010100100
3110122120222222200000
410210021222122210
540014234330400
62130211421300
7232314615306
oct44411523244
913576888600
104901480100
112095837600
12b495b4830
136016159aa
14346d77976
151da495600
hex12426a6a4

4901480100 has 324 divisors, whose sum is σ = 17523013872. Its totient is φ = 1187524800.

The previous prime is 4901480071. The next prime is 4901480119. The reversal of 4901480100 is 10841094.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2939467 + ... + 2941133.

Almost surely, 24901480100 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 4901480100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761506936).

4901480100 is an abundant number, since it is smaller than the sum of its proper divisors (12621533772).

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

4901480100 is a wasteful number, since it uses less digits than its factorization.

4901480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4901480100 is about 70010.5713446191. The cubic root of 4901480100 is about 1698.6702519468.

The spelling of 4901480100 in words is "four billion, nine hundred one million, four hundred eighty thousand, one hundred".