Search a number
-
+
135587377872 = 2433313859671
BaseRepresentation
bin111111001000110100…
…0110011001011010000
3110221222022120110011000
41332101220303023100
54210140332042442
6142142112022000
712536660460522
oct1762150631320
9427868513130
10135587377872
11525585a38a1
122233bb31900
13ca2a62ca9b
1467c3589a12
1537d8642d4c
hex1f91a332d0

135587377872 has 40 divisors (see below), whose sum is σ = 389185993280. Its totient is φ = 45195792480.

The previous prime is 135587377859. The next prime is 135587377903. The reversal of 135587377872 is 278773785531.

It is a happy number.

135587377872 is a `hidden beast` number, since 1 + 3 + 558 + 7 + 3 + 7 + 7 + 8 + 72 = 666.

135587377872 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 7 ways as a sum of consecutive naturals, for example, 156929404 + ... + 156930267.

It is an arithmetic number, because the mean of its divisors is an integer number (9729649832).

Almost surely, 2135587377872 is an apocalyptic number.

135587377872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135587377872 is an abundant number, since it is smaller than the sum of its proper divisors (253598615408).

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

135587377872 is a wasteful number, since it uses less digits than its factorization.

135587377872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313859688 (or 313859676 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 63.

The spelling of 135587377872 in words is "one hundred thirty-five billion, five hundred eighty-seven million, three hundred seventy-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 313859671 627719342 941579013 1255438684 1883158026 2510877368 2824737039 3766316052 5021754736 5649474078 7532632104 8474211117 11298948156 15065264208 16948422234 22597896312 33896844468 45195792624 67793688936 135587377872