Search a number
-
+
123306357644652 = 223713169766539723
BaseRepresentation
bin11100000010010101111111…
…101001010101110101101100
3121011120222021002000011001010
4130002111333221111311230
5112130222410024112102
61114130054135545220
734654406330356020
oct3402257751256554
9534528232004033
10123306357644652
113631aa29333766
12119b572182b210
1353a597cc85b90
1422640b95b4380
15e3c734789d6c
hex70257fa55d6c

123306357644652 has 96 divisors (see below), whose sum is σ = 354319239439872. Its totient is φ = 32501194131456.

The previous prime is 123306357644651. The next prime is 123306357644669. The reversal of 123306357644652 is 256446753603321.

It is a super-2 number, since 2×1233063576446522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123306357644592 and 123306357644601.

It is not an unprimeable number, because it can be changed into a prime (123306357644651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31416738 + ... + 35122985.

It is an arithmetic number, because the mean of its divisors is an integer number (3690825410832).

Almost surely, 2123306357644652 is an apocalyptic number.

123306357644652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123306357644652 is an abundant number, since it is smaller than the sum of its proper divisors (231012881795220).

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

123306357644652 is a wasteful number, since it uses less digits than its factorization.

123306357644652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66541447 (or 66541445 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 57.

The spelling of 123306357644652 in words is "one hundred twenty-three trillion, three hundred six billion, three hundred fifty-seven million, six hundred forty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1697 3394 5091 6788 10182 11879 20364 22061 23758 35637 44122 47516 66183 71274 88244 132366 142548 154427 264732 308854 463281 617708 926562 1853124 66539723 133079446 199619169 266158892 399238338 465778061 798476676 865016399 931556122 1397334183 1730032798 1863112244 2595049197 2794668366 3460065596 5190098394 5589336732 6055114793 10380196788 12110229586 18165344379 24220459172 36330688758 72661377516 112917909931 225835819862 338753729793 451671639724 677507459586 790425369517 1355014919172 1467932829103 1580850739034 2371276108551 2935865658206 3161701478068 4403798487309 4742552217102 5871731316412 8807596974618 9485104434204 10275529803721 17615193949236 20551059607442 30826589411163 41102119214884 61653178822326 123306357644652