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1082277458364 = 223232719712473
BaseRepresentation
bin11111011111111001100…
…00110111000110111100
310211110112202222101000210
433233330300313012330
5120213001012131424
62145105201552420
7141122562415644
oct17577460670674
93743482871023
101082277458364
11387a9a457173
12155904645710
137b09b1b254b
143a54d863524
151d244b52729
hexfbfcc371bc

1082277458364 has 144 divisors (see below), whose sum is σ = 2680906201344. Its totient is φ = 339725971200.

The previous prime is 1082277458357. The next prime is 1082277458401. The reversal of 1082277458364 is 4638547722801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437636232 + ... + 437638704.

It is an arithmetic number, because the mean of its divisors is an integer number (18617404176).

Almost surely, 21082277458364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082277458364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340453100672).

1082277458364 is an abundant number, since it is smaller than the sum of its proper divisors (1598628742980).

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

1082277458364 is a wasteful number, since it uses less digits than its factorization.

1082277458364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 1082277458364 in words is "one trillion, eighty-two billion, two hundred seventy-seven million, four hundred fifty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 426 529 852 971 1058 1587 1633 1942 2116 2473 2913 3174 3266 3884 4899 4946 5826 6348 6532 7419 9798 9892 11652 14838 19596 22333 29676 37559 44666 56879 66999 68941 75118 89332 112677 113758 133998 137882 150236 170637 175583 206823 225354 227516 267996 275764 341274 351166 413646 450708 513659 526749 682548 702332 827292 1027318 1053498 1308217 1540977 1585643 2054636 2106996 2401283 2616434 3081954 3171286 3924651 4038409 4756929 4802566 5232868 6163908 6342572 7203849 7849302 8076818 9513858 9605132 12115227 14407698 15698604 16153636 19027716 24230454 28815396 36469789 48460908 55229509 72939578 92883407 109409367 110459018 145879156 165688527 170491093 185766814 218818734 220918036 278650221 331377054 340982186 371533628 437637468 511473279 557300442 662754108 681964372 1022946558 1114600884 1270278707 2045893116 2540557414 3810836121 3921295139 5081114828 7621672242 7842590278 11763885417 15243344484 15685180556 23527770834 47055541668 90189788197 180379576394 270569364591 360759152788 541138729182 1082277458364