Search a number
-
+
135520278288 = 2433782792269
BaseRepresentation
bin111111000110110100…
…0110101011100010000
3110221210122022102211020
41332031220311130100
54210021142401123
6142131313515440
712535214234103
oct1761550653420
9427718272736
10135520278288
115252373399a
1222321572b80
13ca197684a5
1467b86c073a
1537d27db7e3
hex1f8da35710

135520278288 has 80 divisors (see below), whose sum is σ = 359994726720. Its totient is φ = 43898899968.

The previous prime is 135520278269. The next prime is 135520278301. The reversal of 135520278288 is 882872025531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135520278288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422618 + ... + 1514886.

It is an arithmetic number, because the mean of its divisors is an integer number (4499934084).

Almost surely, 2135520278288 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 135520278288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179997363360).

135520278288 is an abundant number, since it is smaller than the sum of its proper divisors (224474448432).

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

135520278288 is a wasteful number, since it uses less digits than its factorization.

135520278288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93144 (or 93138 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 135520278288 in words is "one hundred thirty-five billion, five hundred twenty million, two hundred seventy-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 827 888 1654 1776 2481 3308 4962 6616 9924 13232 19848 30599 39696 61198 91797 92269 122396 183594 184538 244792 276807 367188 369076 489584 553614 734376 738152 1107228 1468752 1476304 2214456 3413953 4428912 6827906 10241859 13655812 20483718 27311624 40967436 54623248 76306463 81934872 152612926 163869744 228919389 305225852 457838778 610451704 915677556 1220903408 1831355112 2823339131 3662710224 5646678262 8470017393 11293356524 16940034786 22586713048 33880069572 45173426096 67760139144 135520278288