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1078589481768 = 23341797911173
BaseRepresentation
bin11111011001000001111…
…00010110001100101000
310211010000202101202020000
433230200330112030220
5120132422401404033
62143255215503000
7140632311216411
oct17544074261450
93733022352200
101078589481768
11386477709827
12155055527a60
137a93110b486
143a2bdb32808
151d0caeb3a13
hexfb20f16328

1078589481768 has 80 divisors (see below), whose sum is σ = 3198758054580. Its totient is φ = 338381010432.

The previous prime is 1078589481727. The next prime is 1078589481787. The reversal of 1078589481768 is 8671849858701.

1078589481768 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 5 + 89 + 481 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 830507787684 + 248081694084 = 911322^2 + 498078^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1078589481696 and 1078589481705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48944571 + ... + 48966602.

Almost surely, 21078589481768 is an apocalyptic number.

1078589481768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1078589481768 is an abundant number, since it is smaller than the sum of its proper divisors (2120168572812).

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

1078589481768 is a wasteful number, since it uses less digits than its factorization.

1078589481768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97911208 (or 97911195 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 1078589481768 in words is "one trillion, seventy-eight billion, five hundred eighty-nine million, four hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 97911173 195822346 293733519 391644692 587467038 783289384 881200557 1174934076 1664489941 1762401114 2349868152 2643601671 3328979882 3524802228 4993469823 5287203342 6657959764 7049604456 7930805013 9986939646 10574406684 13315919528 14980409469 15861610026 19973879292 21148813368 29960818938 31723220052 39947758584 44941228407 59921637876 63446440104 89882456814 119843275752 134823685221 179764913628 269647370442 359529827256 539294740884 1078589481768