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12235642770 = 23513227138209
BaseRepresentation
bin10110110010100110…
…10001011110010010
31011120201112001110110
423121103101132102
5200024311032040
65342044142150
7612132150621
oct133123213622
934521461413
1012235642770
11520977956a
122455837956
1311ccc1b310
1484103b6b8
154b92ba980
hex2d94d1792

12235642770 has 64 divisors (see below), whose sum is σ = 31763975040. Its totient is φ = 2998560768.

The previous prime is 12235642763. The next prime is 12235642777. The reversal of 12235642770 is 7724653221.

12235642770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12235642763) and next prime (12235642777).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12235642777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19426 + ... + 157634.

It is an arithmetic number, because the mean of its divisors is an integer number (496312110).

Almost surely, 212235642770 is an apocalyptic number.

12235642770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12235642770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881987520).

12235642770 is an abundant number, since it is smaller than the sum of its proper divisors (19528332270).

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

12235642770 is a wasteful number, since it uses less digits than its factorization.

12235642770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138459.

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 12235642770 in words is "twelve billion, two hundred thirty-five million, six hundred forty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 1135 1362 2270 2951 3405 5902 6810 8853 14755 17706 29510 44265 88530 138209 276418 414627 691045 829254 1382090 1796717 2073135 3593434 4146270 5390151 8983585 10780302 17967170 26950755 31373443 53901510 62746886 94120329 156867215 188240658 313734430 407854759 470601645 815709518 941203290 1223564277 2039273795 2447128554 4078547590 6117821385 12235642770