Search a number
-
+
72448720569 = 3833232
BaseRepresentation
bin100001101111001000…
…1111011111010111001
320221000002001100000000
41003132101323322321
52141333333024234
653141003303213
75143226651451
oct1033621737271
9227002040000
1072448720569
11287a8461085
121205ab1ab09
136aa7861234
143713d18d61
151d405ac899
hex10de47beb9

72448720569 has 27 divisors (see below), whose sum is σ = 108700271173. Its totient is φ = 48284612244.

The previous prime is 72448720567. The next prime is 72448720601. The reversal of 72448720569 is 96502784427.

The square root of 72448720569 is 269163.

It is a perfect power (a square), and thus also a powerful number.

72448720569 is a `hidden beast` number, since 7 + 2 + 4 + 4 + 8 + 72 + 0 + 569 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 72448720569 - 21 = 72448720567 is a prime.

It is a super-2 number, since 2×724487205692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72448720567) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21800542 + ... + 21803864.

Almost surely, 272448720569 is an apocalyptic number.

72448720569 is the 269163-rd square number.

72448720569 is the 134582-nd centered octagonal number.

It is an amenable number.

72448720569 is a deficient number, since it is larger than the sum of its proper divisors (36251550604).

72448720569 is an frugal number, since it uses more digits than its factorization.

72448720569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6670 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 72448720569 in words is "seventy-two billion, four hundred forty-eight million, seven hundred twenty thousand, five hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 2187 3323 6561 9969 29907 89721 269163 807489 2422467 7267401 11042329 21802203 33126987 99380961 298142883 894428649 2683285947 8049857841 24149573523 72448720569