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72019658893 = 7813312
BaseRepresentation
bin100001100010010110…
…1001100100010001101
320212220011200202000211
41003010231030202031
52134444013041033
653030235122421
75126500000000
oct1030455144215
9225804622024
1072019658893
11285a8246756
1211b5b2a3411
136a399b5aa0
1436b2d4b537
151d17aa82cd
hex10c4b4c88d

72019658893 has 54 divisors (see below), whose sum is σ = 93499305102. Its totient is φ = 55144439280.

The previous prime is 72019658873. The next prime is 72019658899. The reversal of 72019658893 is 39885691027.

It can be written as a sum of positive squares in only one way, i.e., 49859763849 + 22159895044 = 223293^2 + 148862^2 .

It is not a de Polignac number, because 72019658893 - 213 = 72019650701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72019658899) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2323214788 + ... + 2323214818.

It is an arithmetic number, because the mean of its divisors is an integer number (1731468613).

Almost surely, 272019658893 is an apocalyptic number.

It is an amenable number.

72019658893 is a deficient number, since it is larger than the sum of its proper divisors (21479646209).

72019658893 is an frugal number, since it uses more digits than its factorization.

72019658893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 72019658893 in words is "seventy-two billion, nineteen million, six hundred fifty-eight thousand, eight hundred ninety-three".

Divisors: 1 7 13 31 49 91 217 343 403 637 961 1519 2401 2821 4459 6727 10633 12493 16807 19747 31213 47089 74431 87451 117649 138229 218491 329623 521017 612157 823543 967603 1529437 2307361 3647119 4285099 5764801 6773221 10706059 16151527 25529833 29995693 47412547 74942413 113060689 178708831 209969851 331887829 791424823 1469788957 2323214803 5539973761 10288522699 72019658893