Search a number
-
+
23532720227037 = 3371009142386719
BaseRepresentation
bin1010101100111001000110…
…11011100000001011011101
310002022201001201211020201000
411112130203123200023131
511041030002334231122
6122014441000540513
74646116513343310
oct526344333401335
9102281051736630
1023532720227037
11755319708705a
122780970481739
131019183a72a98
145b4dbdb9c977
152ac217a650ac
hex1567236e02dd

23532720227037 has 64 divisors (see below), whose sum is σ = 39911735296000. Its totient is φ = 13424345996544.

The previous prime is 23532720226997. The next prime is 23532720227041. The reversal of 23532720227037 is 73072202723532.

It is a happy number.

23532720227037 is a `hidden beast` number, since 2 + 3 + 5 + 327 + 20 + 2 + 270 + 37 = 666.

It is not a de Polignac number, because 23532720227037 - 26 = 23532720226973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23532720226983 and 23532720227001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23532720227047) 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 63 ways as a sum of consecutive naturals, for example, 271324164 + ... + 271410882.

It is an arithmetic number, because the mean of its divisors is an integer number (623620864000).

Almost surely, 223532720227037 is an apocalyptic number.

23532720227037 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23532720227037 is a deficient number, since it is larger than the sum of its proper divisors (16379015068963).

23532720227037 is a wasteful number, since it uses less digits than its factorization.

23532720227037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89167 (or 89161 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 45.

The spelling of 23532720227037 in words is "twenty-three trillion, five hundred thirty-two billion, seven hundred twenty million, two hundred twenty-seven thousand, thirty-seven".

Divisors: 1 3 7 9 21 27 63 189 1009 1423 3027 4269 7063 9081 9961 12807 21189 27243 29883 38421 63567 86719 89649 190701 260157 268947 607033 780471 1435807 1821099 2341413 4307421 5463297 10050649 12922263 16389891 30151947 38766789 87499471 90455841 123401137 262498413 271367523 370203411 612496297 787495239 863807959 1110610233 1837488891 2362485717 2591423877 3331830699 5512466673 7774271631 16537400019 23322814893 124511747233 373535241699 871582230631 1120605725097 2614746691893 3361817175291 7844240075679 23532720227037