Search a number
-
+
260450002008 = 2332729315631021
BaseRepresentation
bin1111001010010000000…
…1111010010001011000
3220220021012121221221200
43302210001322101120
513231400200031013
6315352111234200
724550123326630
oct3624401722130
9826235557850
10260450002008
11a0502266449
1242588218960
131b739076c31
14c86a6336c0
156b95465e73
hex3ca407a458

260450002008 has 384 divisors, whose sum is σ = 863228620800. Its totient is φ = 69339110400.

The previous prime is 260450001997. The next prime is 260450002063. The reversal of 260450002008 is 800200054062.

260450002008 is a `hidden beast` number, since 2 + 6 + 0 + 450 + 0 + 0 + 200 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255092538 + ... + 255093558.

It is an arithmetic number, because the mean of its divisors is an integer number (2247991200).

Almost surely, 2260450002008 is an apocalyptic number.

260450002008 is a gapful number since it is divisible by the number (28) 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 260450002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431614310400).

260450002008 is an abundant number, since it is smaller than the sum of its proper divisors (602778618792).

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

260450002008 is a wasteful number, since it uses less digits than its factorization.

260450002008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 260450002008 in words is "two hundred sixty billion, four hundred fifty million, two thousand, eight".