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2118426822512 = 24711131031284169
BaseRepresentation
bin11110110100111100000…
…101000000011101110000
321111112000210210202122122
4132310330011000131300
5234202014231310022
64301105234453412
7306023406613130
oct36647405003560
97445023722578
102118426822512
11747468794420
122a2694a34268
131249c7847590
1474764cc4ac0
153a189cd1742
hex1ed3c140770

2118426822512 has 160 divisors (see below), whose sum is σ = 5564380523520. Its totient is φ = 754474383360.

The previous prime is 2118426822509. The next prime is 2118426822539. The reversal of 2118426822512 is 2152286248112.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1007564 + ... + 2291732.

It is an arithmetic number, because the mean of its divisors is an integer number (34777378272).

Almost surely, 22118426822512 is an apocalyptic number.

2118426822512 is a gapful number since it is divisible by the number (22) 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 2118426822512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782190261760).

2118426822512 is an abundant number, since it is smaller than the sum of its proper divisors (3445953701008).

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

2118426822512 is a wasteful number, since it uses less digits than its factorization.

2118426822512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284311 (or 1284305 counting only the distinct ones).

The product of its digits is 245760, while the sum is 44.

The spelling of 2118426822512 in words is "two trillion, one hundred eighteen billion, four hundred twenty-six million, eight hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 103 104 112 143 154 176 182 206 208 286 308 364 412 572 616 721 728 824 1001 1133 1144 1232 1339 1442 1456 1648 2002 2266 2288 2678 2884 4004 4532 5356 5768 7931 8008 9064 9373 10712 11536 14729 15862 16016 18128 18746 21424 29458 31724 37492 58916 63448 74984 103103 117832 126896 149968 206206 235664 412412 824824 1284169 1649648 2568338 5136676 8989183 10273352 14125859 16694197 17978366 20546704 28251718 33388394 35956732 56503436 66776788 71913464 98881013 113006872 116859379 132269407 133553576 143826928 183636167 197762026 226013744 233718758 264538814 267107152 367272334 395524052 467437516 529077628 734544668 791048104 925885849 934875032 1058155256 1285453169 1454963477 1469089336 1582096208 1719502291 1851771698 1869750064 2116310512 2570906338 2909926954 2938178672 3439004582 3703543396 5141812676 5819853908 6878009164 7407086792 10184744339 10283625352 11639707816 12036516037 13756018328 14814173584 18914525201 20369488678 20567250704 23279415632 24073032074 27512036656 37829050402 40738977356 48146064148 75658100804 81477954712 96292128296 132401676407 151316201608 162955909424 192584256592 264803352814 302632403216 529606705628 1059213411256 2118426822512