[go: up one dir, main page]

Search a number
-
+
7997447997 = 3271150322943
BaseRepresentation
bin1110111001010111…
…10101111100111101
3202122100121110012200
413130223311330331
5112334321313442
63401325022113
7402120120630
oct73453657475
922570543180
107997447997
113434395060
1216723b4939
139a5b5b666
1455c201c17
1531c19434c
hex1dcaf5f3d

7997447997 has 48 divisors (see below), whose sum is σ = 14431592448. Its totient is φ = 4146078240.

The previous prime is 7997447981. The next prime is 7997448007.

7997447997 is a `hidden beast` number, since 7 + 9 + 97 + 447 + 9 + 97 = 666.

7997447997 is nontrivially palindromic in base 10.

7997447997 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7997447997 - 24 = 7997447981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997447957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337108 + ... + 360050.

It is an arithmetic number, because the mean of its divisors is an integer number (300658176).

Almost surely, 27997447997 is an apocalyptic number.

7997447997 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

7997447997 is a deficient number, since it is larger than the sum of its proper divisors (6434144451).

7997447997 is a wasteful number, since it uses less digits than its factorization.

7997447997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23470 (or 23467 counting only the distinct ones).

The product of its digits is 252047376, while the sum is 72.

The square root of 7997447997 is about 89428.4518316179. The cubic root of 7997447997 is about 1999.7873104657.

The spelling of 7997447997 in words is "seven billion, nine hundred ninety-seven million, four hundred forty-seven thousand, nine hundred ninety-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 503 693 1509 3521 4527 5533 10563 16599 22943 31689 38731 49797 68829 116193 160601 206487 252373 348579 481803 757119 1445409 1766611 2271357 5299833 11540329 15899499 34620987 80782303 103862961 126943619 242346909 380830857 727040727 888605333 1142492571 2665815999 7997447997