Search a number
-
+
72238536249 = 31110729396961
BaseRepresentation
bin100001101000111000…
…0001001011000111001
320220110102112212022120
41003101300021120321
52140421031124444
653104054311453
75135065266255
oct1032160113071
9226412485276
1072238536249
11286aa852530
1212000658589
136a7314c509
1436d4045265
151d2bde0b19
hex10d1c09639

72238536249 has 32 divisors (see below), whose sum is σ = 106107563520. Its totient is φ = 43350777600.

The previous prime is 72238536247. The next prime is 72238536263. The reversal of 72238536249 is 94263583227.

It is a happy number.

It is not a de Polignac number, because 72238536249 - 21 = 72238536247 is a prime.

It is a super-2 number, since 2×722385362492 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72238536247) 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, 10374129 + ... + 10381089.

It is an arithmetic number, because the mean of its divisors is an integer number (3315861360).

Almost surely, 272238536249 is an apocalyptic number.

It is an amenable number.

72238536249 is a deficient number, since it is larger than the sum of its proper divisors (33869027271).

72238536249 is a wasteful number, since it uses less digits than its factorization.

72238536249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021.

The product of its digits is 4354560, while the sum is 51.

The spelling of 72238536249 in words is "seventy-two billion, two hundred thirty-eight million, five hundred thirty-six thousand, two hundred forty-nine".

Divisors: 1 3 11 33 107 321 1177 2939 3531 6961 8817 20883 32329 76571 96987 229713 314473 744827 943419 2234481 3459203 8193097 10377609 20458379 24579291 61375137 225042169 675126507 2189046553 6567139659 24079512083 72238536249