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11279560928340 = 22351731356722357
BaseRepresentation
bin1010010000100011101000…
…1110001110110001010100
31110221022111222212021201110
42210020322032032301110
52434301020044201330
635553431520255020
72242631014646535
oct244107216166124
943838458767643
1011279560928340
1136596a90a5151
12132207a171470
1363a872906603
142add0dd7a68c
151486197bbdb0
hexa423a38ec54

11279560928340 has 96 divisors (see below), whose sum is σ = 34519309138944. Its totient is φ = 2739627694080.

The previous prime is 11279560928287. The next prime is 11279560928381. The reversal of 11279560928340 is 4382906597211.

It is a super-2 number, since 2×112795609283402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 178329559 + ... + 178392798.

It is an arithmetic number, because the mean of its divisors is an integer number (359576136864).

It is a 1-persistent number, because it is pandigital, but 2⋅11279560928340 = 22559121856680 is not.

Almost surely, 211279560928340 is an apocalyptic number.

11279560928340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11279560928340 is an abundant number, since it is smaller than the sum of its proper divisors (23239748210604).

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

11279560928340 is a wasteful number, since it uses less digits than its factorization.

11279560928340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356722417 (or 356722415 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 11279560928340 in words is "eleven trillion, two hundred seventy-nine billion, five hundred sixty million, nine hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 5270 6324 7905 10540 15810 31620 356722357 713444714 1070167071 1426889428 1783611785 2140334142 3567223570 4280668284 5350835355 6064280069 7134447140 10701670710 11058393067 12128560138 18192840207 21403341420 22116786134 24257120276 30321400345 33175179201 36385680414 44233572268 55291965335 60642800690 66350358402 72771360828 90964201035 110583930670 121285601380 132700716804 165875896005 181928402070 187992682139 221167861340 331751792010 363856804140 375985364278 563978046417 663503584020 751970728556 939963410695 1127956092834 1879926821390 2255912185668 2819890232085 3759853642780 5639780464170 11279560928340