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1069745461225 = 527229210192
BaseRepresentation
bin11111001000100011100…
…11000101011111101001
310210021012101210221210121
433210101303011133221
5120011314314224400
62135233445443241
7140200201251100
oct17442163053751
93707171727717
101069745461225
11382749474241
121533a7710521
1379b51a7191c
1439ac1321037
151cc5e84821a
hexf911cc57e9

1069745461225 has 81 divisors (see below), whose sum is σ = 1599666603717. Its totient is φ = 707550231360.

The previous prime is 1069745461201. The next prime is 1069745461297. The reversal of 1069745461225 is 5221645479601.

The square root of 1069745461225 is 1034285.

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 14704230121 + 1055041231104 = 121261^2 + 1027152^2 .

It is not a de Polignac number, because 1069745461225 - 223 = 1069737072617 is a prime.

It is a super-2 number, since 2×10697454612252 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1049798766 + ... + 1049799784.

Almost surely, 21069745461225 is an apocalyptic number.

1069745461225 is the 1034285-th square number.

1069745461225 is the 517143-rd centered octagonal number.

It is an amenable number.

1069745461225 is a deficient number, since it is larger than the sum of its proper divisors (529921142492).

1069745461225 is an frugal number, since it uses more digits than its factorization.

1069745461225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 1069745461225 in words is "one trillion, sixty-nine billion, seven hundred forty-five million, four hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 145 175 203 245 725 841 1015 1019 1225 1421 4205 5075 5095 5887 7105 7133 21025 25475 29435 29551 35525 35665 41209 49931 147175 147755 178325 206045 206857 249655 738775 856979 1030225 1034285 1038361 1248275 1447999 4284895 5171425 5191805 5998853 7239995 7268527 21424475 25959025 29994265 30112469 36199975 36342635 41991971 50879689 149971325 150562345 181713175 209959855 210787283 254398445 752811725 873261601 1049799275 1053936415 1271992225 1475510981 4366308005 5269682075 6112831207 7377554905 21831540025 30564156035 36887774525 42789818449 152820780175 213949092245 1069745461225