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1082707108992 = 2734181576949
BaseRepresentation
bin11111100000101100101…
…11110110010010000000
310211111122201102212220000
433300112113312102000
5120214341004441432
62145215550520000
7141136330402455
oct17602627662200
93744581385800
101082707108992
1138819aa34033
12155a04506000
137b139205aa2
143a59094582c
151d26c72157c
hexfc165f6480

1082707108992 has 160 divisors (see below), whose sum is σ = 3239926189500. Its totient is φ = 358907811840.

The previous prime is 1082707108981. The next prime is 1082707109027. The reversal of 1082707108992 is 2998017072801.

It can be written as a sum of positive squares in 2 ways, for example, as 841798910016 + 240908198976 = 917496^2 + 490824^2 .

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

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, 1588134 + ... + 2165082.

Almost surely, 21082707108992 is an apocalyptic number.

1082707108992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082707108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619963094750).

1082707108992 is an abundant number, since it is smaller than the sum of its proper divisors (2157219080508).

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

1082707108992 is an equidigital number, since it uses as much as digits as its factorization.

1082707108992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577156 (or 577135 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1082707108992 in words is "one trillion, eighty-two billion, seven hundred seven million, one hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 181 192 216 288 324 362 384 432 543 576 648 724 864 1086 1152 1296 1448 1629 1728 2172 2592 2896 3258 3456 4344 4887 5184 5792 6516 8688 9774 10368 11584 13032 14661 17376 19548 23168 26064 29322 34752 39096 52128 58644 69504 78192 104256 117288 156384 208512 234576 312768 469152 576949 625536 938304 1153898 1730847 1876608 2307796 3461694 4615592 5192541 6923388 9231184 10385082 13846776 15577623 18462368 20770164 27693552 31155246 36924736 41540328 46732869 55387104 62310492 73849472 83080656 93465738 104427769 110774208 124620984 166161312 186931476 208855538 221548416 249241968 313283307 332322624 373862952 417711076 498483936 626566614 664645248 747725904 835422152 939849921 996967872 1253133228 1495451808 1670844304 1879699842 1993935744 2506266456 2819549763 2990903616 3341688608 3759399684 5012532912 5639099526 5981807232 6683377216 7518799368 8458649289 10025065824 11278199052 13366754432 15037598736 16917298578 20050131648 22556398104 30075197472 33834597156 40100263296 45112796208 60150394944 67669194312 90225592416 120300789888 135338388624 180451184832 270676777248 360902369664 541353554496 1082707108992