Search a number
-
+
1058077160660 = 2251317239383973
BaseRepresentation
bin11110110010110100101…
…00000011010011010100
310202011002012211212112102
433121122110003103110
5114313420223120120
62130023545341232
7136305065321102
oct17313224032324
93664065755472
101058077160660
11378800a78333
1215108ba97818
1378a12556570
14392d57a8c72
151c7ca298d75
hexf65a5034d4

1058077160660 has 48 divisors (see below), whose sum is σ = 2533639980816. Its totient is φ = 367693780992.

The previous prime is 1058077160639. The next prime is 1058077160663. The reversal of 1058077160660 is 660617708501.

It can be written as a sum of positive squares in 8 ways, for example, as 55026838084 + 1003050322576 = 234578^2 + 1001524^2 .

It is a super-2 number, since 2×10580771606602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058077160663) 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 15 ways as a sum of consecutive naturals, for example, 119687567 + ... + 119696406.

It is an arithmetic number, because the mean of its divisors is an integer number (52784166267).

Almost surely, 21058077160660 is an apocalyptic number.

1058077160660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1058077160660 is an abundant number, since it is smaller than the sum of its proper divisors (1475562820156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1058077160660 is a wasteful number, since it uses less digits than its factorization.

1058077160660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239384012 (or 239384010 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 1058077160660 in words is "one trillion, fifty-eight billion, seventy-seven million, one hundred sixty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 239383973 478767946 957535892 1196919865 2393839730 3111991649 4069527541 4787679460 6223983298 8139055082 12447966596 15559958245 16278110164 20347637705 31119916490 40695275410 52903858033 62239832980 81390550820 105807716066 211615432132 264519290165 529038580330 1058077160660