Search a number
-
+
12235675740 = 2235832456963
BaseRepresentation
bin10110110010100110…
…11001100001011100
31011120201120201200120
423121103121201130
5200024313110430
65342044554540
7612132346011
oct133123314134
934521521616
1012235675740
1152097a1312
122455852a50
1311ccc30322
14841049708
154b92c5610
hex2d94d985c

12235675740 has 48 divisors (see below), whose sum is σ = 34672675968. Its totient is φ = 3223534144.

The previous prime is 12235675733. The next prime is 12235675741. The reversal of 12235675740 is 4757653221.

12235675740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12235675692 and 12235675701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12235675741) 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 15 ways as a sum of consecutive naturals, for example, 1223502 + ... + 1233461.

It is an arithmetic number, because the mean of its divisors is an integer number (722347416).

Almost surely, 212235675740 is an apocalyptic number.

12235675740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12235675740 is an abundant number, since it is smaller than the sum of its proper divisors (22437000228).

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

12235675740 is a wasteful number, since it uses less digits than its factorization.

12235675740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457058 (or 2457056 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 12235675740 in words is "twelve billion, two hundred thirty-five million, six hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 2456963 4913926 7370889 9827852 12284815 14741778 24569630 29483556 36854445 49139260 73708890 147417780 203927929 407855858 611783787 815711716 1019639645 1223567574 2039279290 2447135148 3058918935 4078558580 6117837870 12235675740