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1148425149316 = 221724327332
BaseRepresentation
bin10000101101100011011…
…110010001101110000100
311001210021201112020100111
4100231203132101232010
5122303433314234231
62235325040322404
7145654021463614
oct20554336215604
94053251466314
101148425149316
1140305406a455
121666a5313404
13843b04a9393
143d8269aca44
151ed16e634b1
hex10b63791b84

1148425149316 has 81 divisors (see below), whose sum is σ = 2188708231311. Its totient is φ = 527146953984.

The previous prime is 1148425149247. The next prime is 1148425149317. The reversal of 1148425149316 is 6139415248411.

The square root of 1148425149316 is 1071646.

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

It can be written as a sum of positive squares in 4 ways, for example, as 741228014916 + 407197134400 = 860946^2 + 638120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1148425149316.

It is not an unprimeable number, because it can be changed into a prime (1148425149317) 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 26 ways as a sum of consecutive naturals, for example, 1566746086 + ... + 1566746818.

Almost surely, 21148425149316 is an apocalyptic number.

1148425149316 is the 1071646-th square number.

It is an amenable number.

1148425149316 is a deficient number, since it is larger than the sum of its proper divisors (1040283081995).

1148425149316 is an frugal number, since it uses more digits than its factorization.

1148425149316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 795 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

Multiplying 1148425149316 by its sum of digits (49), we get a square (56272832316484 = 75015222).

The spelling of 1148425149316 in words is "one trillion, one hundred forty-eight billion, four hundred twenty-five million, one hundred forty-nine thousand, three hundred sixteen".

Divisors: 1 2 4 17 34 43 68 86 172 289 578 731 733 1156 1462 1466 1849 2924 2932 3698 7396 12427 12461 24854 24922 31433 31519 49708 49844 62866 63038 125732 126076 211837 423674 534361 535823 537289 847348 1068722 1071646 1074578 1355317 2137444 2143292 2149156 2710634 5421268 9108991 9133913 18217982 18267826 23040389 23103427 36435964 36535652 46080778 46206854 92161556 92413708 155276521 310553042 391686613 392758259 621106084 783373226 785516518 993447361 1566746452 1571033036 1986894722 3973789444 6676890403 13353780806 16888605137 26707561612 33777210274 67554420548 287106287329 574212574658 1148425149316