Search a number
-
+
23537422473532 = 22112961302397637
BaseRepresentation
bin1010101101000001110111…
…01101001001100100111100
310002100011012102221010020121
411112200323231021210330
511041114120123123112
6122020535334224324
74646344161645622
oct526407355114474
9102304172833217
1023537422473532
11755518a404490
1227818631b50a4
13101975300c266
145b53084b3512
152ac3e07a3407
hex15683bb4993c

23537422473532 has 48 divisors (see below), whose sum is σ = 47246606961120. Its totient is φ = 10160560569600.

The previous prime is 23537422473529. The next prime is 23537422473563.

23537422473532 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23537422473532.

It is a congruent number.

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, 151120983 + ... + 151276654.

It is an arithmetic number, because the mean of its divisors is an integer number (984304311690).

Almost surely, 223537422473532 is an apocalyptic number.

23537422473532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23537422473532 is an abundant number, since it is smaller than the sum of its proper divisors (23709184487588).

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

23537422473532 is a wasteful number, since it uses less digits than its factorization.

23537422473532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302397742 (or 302397740 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 52.

The spelling of 23537422473532 in words is "twenty-three trillion, five hundred thirty-seven billion, four hundred twenty-two million, four hundred seventy-three thousand, five hundred thirty-two".

Divisors: 1 2 4 11 22 29 44 58 61 116 122 244 319 638 671 1276 1342 1769 2684 3538 7076 19459 38918 77836 302397637 604795274 1209590548 3326374007 6652748014 8769531473 13305496028 17539062946 18446255857 35078125892 36892511714 73785023428 96464846203 192929692406 202908814427 385859384812 405817628854 534941419853 811635257708 1069882839706 2139765679412 5884355618383 11768711236766 23537422473532