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1075285361682 = 23472135460489
BaseRepresentation
bin11111010010111000000…
…00001000010000010010
310210210111111010001120000
433221130000020100102
5120104141023033212
62141551305030430
7140454400524300
oct17513400102022
93723444101500
101075285361682
11385031610474
12154492a85416
137a525715a2c
143a088da3270
151ce85d9a1dc
hexfa5c008412

1075285361682 has 60 divisors (see below), whose sum is σ = 2802812998590. Its totient is φ = 307224386784.

The previous prime is 1075285361681. The next prime is 1075285361687. The reversal of 1075285361682 is 2861635825701.

1075285361682 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 28 + 536 + 1 + 6 + 82 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1042524723681 + 32760638001 = 1021041^2 + 180999^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1075285361681) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 67722307 + ... + 67738182.

Almost surely, 21075285361682 is an apocalyptic number.

1075285361682 is an abundant number, since it is smaller than the sum of its proper divisors (1727527636908).

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

1075285361682 is a wasteful number, since it uses less digits than its factorization.

1075285361682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135460517 (or 135460501 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1075285361682 in words is "one trillion, seventy-five billion, two hundred eighty-five million, three hundred sixty-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 135460489 270920978 406381467 812762934 948223423 1219144401 1896446846 2438288802 2844670269 3657433203 5689340538 6637563961 7314866406 8534010807 10972299609 13275127922 17068021614 19912691883 21944599218 25602032421 39825383766 51204064842 59738075649 76806097263 119476151298 153612194526 179214226947 358428453894 537642680841 1075285361682