Search a number
-
+
12788144770290 = 2354191017354397
BaseRepresentation
bin1011101000010111100011…
…0100111000110011110010
31200021112102210111202221020
42322011320310320303302
53134010110030122130
643110443111440310
72456625102016431
oct272057064706362
950245383452836
1012788144770290
114090470377a9a
121526517986096
13719bbc4c2126
14322d4164d118
151729b053be10
hexba178d38cf2

12788144770290 has 32 divisors (see below), whose sum is σ = 30764796995520. Its totient is φ = 3402033100224.

The previous prime is 12788144770279. The next prime is 12788144770319. The reversal of 12788144770290 is 9207744188721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508664629 + ... + 508689768.

It is an arithmetic number, because the mean of its divisors is an integer number (961399906110).

Almost surely, 212788144770290 is an apocalyptic number.

12788144770290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12788144770290 is an abundant number, since it is smaller than the sum of its proper divisors (17976652225230).

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

12788144770290 is a wasteful number, since it uses less digits than its factorization.

12788144770290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017354826.

The product of its (nonzero) digits is 12644352, while the sum is 60.

The spelling of 12788144770290 in words is "twelve trillion, seven hundred eighty-eight billion, one hundred forty-four million, seven hundred seventy thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 419 838 1257 2095 2514 4190 6285 12570 1017354397 2034708794 3052063191 5086771985 6104126382 10173543970 15260315955 30520631910 426271492343 852542984686 1278814477029 2131357461715 2557628954058 4262714923430 6394072385145 12788144770290