Search a number
-
+
10261557144 = 233347507209
BaseRepresentation
bin10011000111010001…
…01110111110011000
3222111010221010002000
421203220232332120
5132003424312034
64414124441000
7512201540136
oct114350567630
928433833060
1010261557144
114396421843
121ba46a9160
13c76c48407
146d4baa756
15400d26599
hex263a2ef98

10261557144 has 32 divisors (see below), whose sum is σ = 28504326000. Its totient is φ = 3420518976.

The previous prime is 10261557143. The next prime is 10261557161. The reversal of 10261557144 is 44175516201.

10261557144 is a `hidden beast` number, since 1 + 0 + 2 + 61 + 557 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10261557099 and 10261557108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261557143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23753389 + ... + 23753820.

Almost surely, 210261557144 is an apocalyptic number.

It is an amenable number.

10261557144 is an abundant number, since it is smaller than the sum of its proper divisors (18242768856).

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

10261557144 is a wasteful number, since it uses less digits than its factorization.

10261557144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47507224 (or 47507214 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10261557144 in words is "ten billion, two hundred sixty-one million, five hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 47507209 95014418 142521627 190028836 285043254 380057672 427564881 570086508 855129762 1140173016 1282694643 1710259524 2565389286 3420519048 5130778572 10261557144