Search a number
-
+
135631780086 = 231129148947591
BaseRepresentation
bin111111001010001001…
…0001011100011110110
3110222002102010022112110
41332110102023203312
54210233213430321
6142150335431450
712541040052165
oct1762422134366
9428072108473
10135631780086
1152580670940
1222352985586
13ca368a829a
1467c94273dc
1537dc4b4176
hex1f9448b8f6

135631780086 has 64 divisors (see below), whose sum is σ = 306340185600. Its totient is φ = 39655795200.

The previous prime is 135631780033. The next prime is 135631780099. The reversal of 135631780086 is 680087136531.

135631780086 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826151 + ... + 2873741.

It is an arithmetic number, because the mean of its divisors is an integer number (4786565400).

Almost surely, 2135631780086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135631780086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153170092800).

135631780086 is an abundant number, since it is smaller than the sum of its proper divisors (170708405514).

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

135631780086 is a wasteful number, since it uses less digits than its factorization.

135631780086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49125.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 135631780086 in words is "one hundred thirty-five billion, six hundred thirty-one million, seven hundred eighty thousand, eighty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1489 1914 2978 4467 8934 16379 32758 43181 47591 49137 86362 95182 98274 129543 142773 259086 285546 474991 523501 949982 1047002 1380139 1424973 1570503 2760278 2849946 3141006 4140417 8280834 15181529 30363058 45544587 70862999 91089174 141725998 212588997 425177994 779492989 1558985978 2055026971 2338478967 4110053942 4676957934 6165080913 12330161826 22605296681 45210593362 67815890043 135631780086