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72945441045 = 32523181138917
BaseRepresentation
bin100001111101111100…
…0110001100100010101
320222021200201100101200
41003323320301210111
52143343013103140
653302145543113
75161441006221
oct1037370614425
9228250640350
1072945441045
1128a32888574
1212179344a99
136b56738689
14375dc99781
151d6dec9030
hex10fbe31915

72945441045 has 48 divisors (see below), whose sum is σ = 132012346752. Its totient is φ = 37191242880.

The previous prime is 72945441043. The next prime is 72945441061. The reversal of 72945441045 is 54014454927.

72945441045 is a `hidden beast` number, since 7 + 2 + 94 + 544 + 10 + 4 + 5 = 666.

It is not a de Polignac number, because 72945441045 - 21 = 72945441043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72945441043) 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 47 ways as a sum of consecutive naturals, for example, 1854927 + ... + 1893843.

It is an arithmetic number, because the mean of its divisors is an integer number (2750257224).

Almost surely, 272945441045 is an apocalyptic number.

It is an amenable number.

72945441045 is a deficient number, since it is larger than the sum of its proper divisors (59066905707).

72945441045 is a wasteful number, since it uses less digits than its factorization.

72945441045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40762 (or 40759 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 72945441045 in words is "seventy-two billion, nine hundred forty-five million, four hundred forty-one thousand, forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 1811 5433 9055 16299 27165 38917 41653 81495 116751 124959 194585 208265 350253 374877 583755 624795 895091 1751265 1874385 2685273 4475455 8055819 13426365 40279095 70478687 211436061 352393435 634308183 1057180305 1621009801 3171540915 4863029403 8105049005 14589088209 24315147015 72945441045