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4997557440 = 2637537193
BaseRepresentation
bin1001010011110000…
…01010110011000000
3110220021210020000000
410221320022303000
540213333314230
62143523000000
7234562352211
oct45170126300
913807706000
104997557440
112134a99967
12b75809000
136184b4ba5
14355a27408
151e3b22b60
hex129e0acc0

4997557440 has 448 divisors, whose sum is σ = 18425281920. Its totient is φ = 1289945088.

The previous prime is 4997557421. The next prime is 4997557447. The reversal of 4997557440 is 447557994.

4997557440 is a `hidden beast` number, since 49 + 9 + 7 + 557 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4997557447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25893984 + ... + 25894176.

Almost surely, 24997557440 is an apocalyptic number.

4997557440 is a gapful number since it is divisible by the number (40) 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 4997557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212640960).

4997557440 is an abundant number, since it is smaller than the sum of its proper divisors (13427724480).

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

4997557440 is an equidigital number, since it uses as much as digits as its factorization.

4997557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 4997557440 is about 70693.4045014102. The cubic root of 4997557440 is about 1709.6974533994.

The spelling of 4997557440 in words is "four billion, nine hundred ninety-seven million, five hundred fifty-seven thousand, four hundred forty".