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72240648687 = 3323577201611
BaseRepresentation
bin100001101000111100…
…0001101000111101111
320220110120112012001000
41003101320031013233
52140422101224222
653104211451343
75135122245054
oct1032170150757
9226416465030
1072240648687
1128700a65649
12120012b6b53
136a7370bb8c
1436d443502b
151d2c1ab9ac
hex10d1e0d1ef

72240648687 has 32 divisors (see below), whose sum is σ = 111870466560. Its totient is φ = 45986434560.

The previous prime is 72240648673. The next prime is 72240648707. The reversal of 72240648687 is 78684604227.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-72240648687 is a prime.

It is a super-2 number, since 2×722406486872 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72240648617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257512 + ... + 459122.

It is an arithmetic number, because the mean of its divisors is an integer number (3495952080).

Almost surely, 272240648687 is an apocalyptic number.

72240648687 is a deficient number, since it is larger than the sum of its proper divisors (39629817873).

72240648687 is a wasteful number, since it uses less digits than its factorization.

72240648687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202220 (or 202214 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 72240648687 in words is "seventy-two billion, two hundred forty million, six hundred forty-eight thousand, six hundred eighty-seven".

Divisors: 1 3 9 23 27 69 207 577 621 1731 5193 13271 15579 39813 119439 201611 358317 604833 1814499 4637053 5443497 13911159 41733477 116329547 125200431 348988641 1046965923 2675579581 3140897769 8026738743 24080216229 72240648687