Search a number
-
+
55777557745 = 5721332215437
BaseRepresentation
bin110011111100100110…
…011111110011110001
312022222020022111220001
4303330212133303301
51403213023321440
641342430350001
74013135263300
oct637446376361
9168866274801
1055777557745
1121722a82768
12a98795b301
13534ba24550
1429b1b98437
1516b6bddb9a
hexcfc99fcf1

55777557745 has 48 divisors (see below), whose sum is σ = 83891677968. Its totient is φ = 35287902720.

The previous prime is 55777557739. The next prime is 55777557749. The reversal of 55777557745 is 54775577755.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 455224896 + 55322332849 = 21336^2 + 235207^2 .

It is not a de Polignac number, because 55777557745 - 211 = 55777555697 is a prime.

It is a super-2 number, since 2×557775577452 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55777557749) 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, 10256167 + ... + 10261603.

It is an arithmetic number, because the mean of its divisors is an integer number (1747743291).

Almost surely, 255777557745 is an apocalyptic number.

It is an amenable number.

55777557745 is a deficient number, since it is larger than the sum of its proper divisors (28114120223).

55777557745 is a wasteful number, since it uses less digits than its factorization.

55777557745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8683 counting only the distinct ones).

The product of its digits is 210087500, while the sum is 64.

The spelling of 55777557745 in words is "fifty-five billion, seven hundred seventy-seven million, five hundred fifty-seven thousand, seven hundred forty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3185 3221 5437 16105 22547 27185 38059 41873 70681 112735 157829 190295 209365 266413 293111 353405 494767 789145 1332065 1465555 2051777 2473835 3463369 10258885 17316845 17512577 87562885 122588039 227663501 612940195 858116273 1138317505 1593644507 4290581365 7968222535 11155511549 55777557745