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12353007123653 = 723163611278467
BaseRepresentation
bin1011001111000010100010…
…0110011111110011000101
31121201221021022021000022112
42303300220212133303011
53104342424310424103
642134520525510405
72413322014033100
oct263605046376305
947657238230275
1012353007123653
113a3297652a709
121476119112405
136b7b64298001
14309c6298d737
151664e3e73cd8
hexb3c2899fcc5

12353007123653 has 24 divisors (see below), whose sum is σ = 14835710870784. Its totient is φ = 10245115137600.

The previous prime is 12353007123643. The next prime is 12353007123701. The reversal of 12353007123653 is 35632170035321.

It is not a de Polignac number, because 12353007123653 - 222 = 12353002929349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12353007123653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353007123643) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9023126 + ... + 10301592.

It is an arithmetic number, because the mean of its divisors is an integer number (618154619616).

Almost surely, 212353007123653 is an apocalyptic number.

It is an amenable number.

12353007123653 is a deficient number, since it is larger than the sum of its proper divisors (2482703747131).

12353007123653 is a wasteful number, since it uses less digits than its factorization.

12353007123653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284873 (or 1284866 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 41.

Adding to 12353007123653 its reverse (35632170035321), we get a palindrome (47985177158974).

The spelling of 12353007123653 in words is "twelve trillion, three hundred fifty-three billion, seven million, one hundred twenty-three thousand, six hundred fifty-three".

Divisors: 1 7 31 49 217 1519 6361 44527 197191 311689 1278467 1380337 8949269 9662359 39632477 62644883 277427339 1941991373 8132328587 56926300109 252102186197 398484100763 1764715303379 12353007123653