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1042828370560 = 27515461105389
BaseRepresentation
bin11110010110011010110…
…10100010001010000000
310200200201111120001222201
433023031122202022000
5114041203030324220
62115022503042544
7135225154616104
oct17131532421200
93620644501881
101042828370560
11372296479669
1214a135140454
13774522cc742
143868a501904
151c1d66ddd0a
hexf2cd6a2280

1042828370560 has 64 divisors (see below), whose sum is σ = 2493196475400. Its totient is φ = 417100410880.

The previous prime is 1042828370533. The next prime is 1042828370579. The reversal of 1042828370560 is 650738282401.

It can be written as a sum of positive squares in 4 ways, for example, as 849066416704 + 193761953856 = 921448^2 + 440184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1042828370560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9842346 + ... + 9947734.

Almost surely, 21042828370560 is an apocalyptic number.

1042828370560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042828370560 is an abundant number, since it is smaller than the sum of its proper divisors (1450368104840).

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

1042828370560 is a wasteful number, since it uses less digits than its factorization.

1042828370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120869 (or 120857 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 1042828370560 in words is "one trillion, forty-two billion, eight hundred twenty-eight million, three hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 15461 30922 61844 77305 105389 123688 154610 210778 247376 309220 421556 494752 526945 618440 843112 989504 1053890 1236880 1686224 1979008 2107780 2473760 3372448 4215560 4947520 6744896 8431120 9895040 13489792 16862240 33724480 67448960 1629419329 3258838658 6517677316 8147096645 13035354632 16294193290 26070709264 32588386580 52141418528 65176773160 104282837056 130353546320 208565674112 260707092640 521414185280 1042828370560