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5416502900 = 2252193191961
BaseRepresentation
bin1010000101101100…
…10100011001110100
3111222111002212010112
411002312110121310
542043111043100
62253250242152
7251140341434
oct50266243164
914874085115
105416502900
11232a524886
121071b86358
1368422a903
143955202c4
1521a7c9b35
hex142d94674

5416502900 has 72 divisors (see below), whose sum is σ = 12771682560. Its totient is φ = 1986336000.

The previous prime is 5416502863. The next prime is 5416502911. The reversal of 5416502900 is 92056145.

It is a happy number.

It is a congruent number.

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, 12920 + ... + 104880.

It is an arithmetic number, because the mean of its divisors is an integer number (177384480).

Almost surely, 25416502900 is an apocalyptic number.

5416502900 is a gapful number since it is divisible by the number (50) 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 5416502900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385841280).

5416502900 is an abundant number, since it is smaller than the sum of its proper divisors (7355179660).

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

5416502900 is a wasteful number, since it uses less digits than its factorization.

5416502900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92025 (or 92018 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 5416502900 is about 73596.8946355755. The cubic root of 5416502900 is about 1756.1960391724.

The spelling of 5416502900 in words is "five billion, four hundred sixteen million, five hundred two thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 775 950 1178 1550 1900 2356 2945 3100 5890 11780 14725 29450 58900 91961 183922 367844 459805 919610 1747259 1839220 2299025 2850791 3494518 4598050 5701582 6989036 8736295 9196100 11403164 14253955 17472590 28507910 34945180 43681475 54165029 57015820 71269775 87362950 108330058 142539550 174725900 216660116 270825145 285079100 541650290 1083300580 1354125725 2708251450 5416502900