Search a number
-
+
260203158432 = 2534731214923
BaseRepresentation
bin1111001001010101010…
…0010001101110100000
3220212122000011000020000
43302111110101232200
513230344002032212
6315311412420000
724541035232230
oct3622524215640
9825560130200
10260203158432
11a0395999198
1242519617600
131b6c9b9b149
14c845939cc0
156b7d9571dc
hex3c95511ba0

260203158432 has 360 divisors, whose sum is σ = 903754339488. Its totient is φ = 71940752640.

The previous prime is 260203158419. The next prime is 260203158497. The reversal of 260203158432 is 234851302062.

260203158432 is a `hidden beast` number, since 2 + 6 + 0 + 203 + 15 + 8 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 17428923 + ... + 17443845.

Almost surely, 2260203158432 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 260203158432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451877169744).

260203158432 is an abundant number, since it is smaller than the sum of its proper divisors (643551181056).

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

260203158432 is a wasteful number, since it uses less digits than its factorization.

260203158432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 260203158432 in words is "two hundred sixty billion, two hundred three million, one hundred fifty-eight thousand, four hundred thirty-two".