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4996555200 = 2633527133141
BaseRepresentation
bin1001010011101000…
…10110000111000000
3110220012220022012000
410221310112013000
540213104231300
62143445304000
7234551006220
oct45164260700
913805808160
104996555200
11213447496a
12b75405000
13618223950
14355846080
151e39c5c00
hex129d161c0

4996555200 has 1344 divisors, whose sum is σ = 23705149440. Its totient is φ = 995328000.

The previous prime is 4996555189. The next prime is 4996555211. The reversal of 4996555200 is 25556994.

It is a happy number.

4996555200 is a `hidden beast` number, since 4 + 9 + 96 + 5 + 552 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4996555189) and next prime (4996555211).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 121867180 + ... + 121867220.

It is an arithmetic number, because the mean of its divisors is an integer number (17637760).

Almost surely, 24996555200 is an apocalyptic number.

4996555200 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 4996555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11852574720).

4996555200 is an abundant number, since it is smaller than the sum of its proper divisors (18708594240).

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

4996555200 is a wasteful number, since it uses less digits than its factorization.

4996555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 4996555200 is about 70686.3155073173. The cubic root of 4996555200 is about 1709.5831547808.

The spelling of 4996555200 in words is "four billion, nine hundred ninety-six million, five hundred fifty-five thousand, two hundred".