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1040564253645 = 32573303378583
BaseRepresentation
bin11110010010001100111…
…01100111001111001101
310200110212201020000110200
433021012131213033031
5114022033422104040
62114010103124113
7135115103135130
oct17110635471715
93613781200420
101040564253645
11371334437064
12149802a43639
137718120c2a7
1438513934217
151c102a59630
hexf2467673cd

1040564253645 has 24 divisors (see below), whose sum is σ = 2061308236416. Its totient is φ = 475686515808.

The previous prime is 1040564253593. The next prime is 1040564253661. The reversal of 1040564253645 is 5463524650401.

1040564253645 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 564 + 25 + 3 + 64 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1040564253645 is a prime.

It is a super-3 number, since 3×10405642536453 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1040564253645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651688977 + ... + 1651689606.

It is an arithmetic number, because the mean of its divisors is an integer number (85887843184).

Almost surely, 21040564253645 is an apocalyptic number.

1040564253645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1040564253645 is a deficient number, since it is larger than the sum of its proper divisors (1020743982771).

1040564253645 is a wasteful number, since it uses less digits than its factorization.

1040564253645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303378601 (or 3303378598 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 1040564253645 in words is "one trillion, forty billion, five hundred sixty-four million, two hundred fifty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 3303378583 9910135749 16516892915 23123650081 29730407247 49550678745 69370950243 115618250405 148652036235 208112850729 346854751215 1040564253645