Search a number
-
+
1065136460465 = 572112130127617
BaseRepresentation
bin11110111111111110001…
…01001001001010110001
310202211022012011110100202
433133333011021022301
5114422344413213330
62133152242524545
7136645034350100
oct17377705111261
93684265143322
101065136460465
113807a3844800
12152520066755
1379598c2283c
14397a5160037
151ca8edc8445
hexf7ff1492b1

1065136460465 has 72 divisors (see below), whose sum is σ = 1635614517096. Its totient is φ = 663446784000.

The previous prime is 1065136460461. The next prime is 1065136460477. The reversal of 1065136460465 is 5640646315601.

It can be written as a sum of positive squares in 4 ways, for example, as 186132707761 + 879003752704 = 431431^2 + 937552^2 .

It is not a de Polignac number, because 1065136460465 - 22 = 1065136460461 is a prime.

It is a super-2 number, since 2×10651364604652 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065136460461) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38554337 + ... + 38581953.

It is an arithmetic number, because the mean of its divisors is an integer number (22716868293).

Almost surely, 21065136460465 is an apocalyptic number.

It is an amenable number.

1065136460465 is a deficient number, since it is larger than the sum of its proper divisors (570478056631).

1065136460465 is a wasteful number, since it uses less digits than its factorization.

1065136460465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28959 (or 28941 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 1065136460465 in words is "one trillion, sixty-five billion, one hundred thirty-six million, four hundred sixty thousand, four hundred sixty-five".

Divisors: 1 5 7 11 35 49 55 77 121 245 385 539 605 847 1301 2695 4235 5929 6505 9107 14311 27617 29645 45535 63749 71555 100177 138085 157421 193319 303787 318745 500885 701239 787105 966595 1101947 1353233 1518935 2126509 3341657 3506195 5509735 6766165 7713629 10632545 14885563 16708285 23391599 35929717 38568145 74427815 116957995 163741193 179648585 251508019 395226887 818705965 1257540095 1760556133 1976134435 2766588209 4347495757 8802780665 13832941045 19366117463 21737478785 30432470299 96830587315 152162351495 213027292093 1065136460465