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2126947248 = 243417195081
BaseRepresentation
bin111111011000110…
…1010001110110000
312111020020010010000
41332301222032300
513323444302443
6551015510000
7103464516246
oct17661521660
95436203100
102126947248
119a1673a48
124b4388300
1327b86448a
141626a2796
15c6adb8d3
hex7ec6a3b0

2126947248 has 200 divisors, whose sum is σ = 6862529520. Its totient is φ = 632033280.

The previous prime is 2126947243. The next prime is 2126947301. The reversal of 2126947248 is 8427496212.

It is not an unprimeable number, because it can be changed into a prime (2126947243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416068 + ... + 421148.

Almost surely, 22126947248 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 2126947248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431264760).

2126947248 is an abundant number, since it is smaller than the sum of its proper divisors (4735582272).

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

2126947248 is a wasteful number, since it uses less digits than its factorization.

2126947248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5122 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2126947248 is about 46118.8383201485. The cubic root of 2126947248 is about 1286.0333752777.

The spelling of 2126947248 in words is "two billion, one hundred twenty-six million, nine hundred forty-seven thousand, two hundred forty-eight".