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72173363049 = 3240119998161
BaseRepresentation
bin100001100110111011…
…1100001111101101001
320220021212220201111100
41003031313201331221
52140302340104144
653053405352013
75133344315034
oct1031567417551
9226255821440
1072173363049
1128676a88987
1211ba2868609
136a627b09a8
1436c951c01b
151d2631a269
hex10cdde1f69

72173363049 has 12 divisors (see below), whose sum is σ = 104510394612. Its totient is φ = 47995584000.

The previous prime is 72173363039. The next prime is 72173363117. The reversal of 72173363049 is 94036337127.

It is a happy number.

72173363049 is a `hidden beast` number, since 7 + 2 + 1 + 7 + 3 + 3 + 630 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47248847424 + 24924515625 = 217368^2 + 157875^2 .

It is not a de Polignac number, because 72173363049 - 29 = 72173362537 is a prime.

It is a super-3 number, since 3×721733630493 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72173362995 and 72173363013.

It is not an unprimeable number, because it can be changed into a prime (72173363039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9995472 + ... + 10002689.

It is an arithmetic number, because the mean of its divisors is an integer number (8709199551).

Almost surely, 272173363049 is an apocalyptic number.

It is an amenable number.

72173363049 is a deficient number, since it is larger than the sum of its proper divisors (32337031563).

72173363049 is a wasteful number, since it uses less digits than its factorization.

72173363049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19998568 (or 19998565 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 72173363049 in words is "seventy-two billion, one hundred seventy-three million, three hundred sixty-three thousand, forty-nine".

Divisors: 1 3 9 401 1203 3609 19998161 59994483 179983449 8019262561 24057787683 72173363049