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109545255936 = 2103277315377
BaseRepresentation
bin110011000000101100…
…1111111010000000000
3101110202101201120210100
41212001121333100000
53243322041142221
6122154023002400
710625430212004
oct1460131772000
9343671646710
10109545255936
1142504494176
1219292599400
13a43a22ba8c
145432a4c704
152cb221d926
hex198167f400

109545255936 has 132 divisors (see below), whose sum is σ = 316739343492. Its totient is φ = 36465475584.

The previous prime is 109545255917. The next prime is 109545255949. The reversal of 109545255936 is 639552545901.

109545255936 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 4 + 52 + 559 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67733185536 + 41812070400 = 260256^2 + 204480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7116280 + ... + 7131656.

It is an arithmetic number, because the mean of its divisors is an integer number (2399540481).

Almost surely, 2109545255936 is an apocalyptic number.

109545255936 is a gapful number since it is divisible by the number (16) 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 109545255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158369671746).

109545255936 is an abundant number, since it is smaller than the sum of its proper divisors (207194087556).

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

109545255936 is a wasteful number, since it uses less digits than its factorization.

109545255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16176 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 109545255936 in words is "one hundred nine billion, five hundred forty-five million, two hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 773 1024 1152 1536 1546 2304 2319 3072 3092 4608 4638 6184 6957 9216 9276 12368 13914 15377 18552 24736 27828 30754 37104 46131 49472 55656 61508 74208 92262 98944 111312 123016 138393 148416 184524 197888 222624 246032 276786 296832 369048 395776 445248 492064 553572 593664 738096 791552 890496 984128 1107144 1187328 1476192 1780992 1968256 2214288 2374656 2952384 3561984 3936512 4428576 5904768 7123968 7873024 8857152 11809536 11886421 15746048 17714304 23619072 23772842 35428608 35659263 47238144 47545684 70857216 71318526 95091368 106977789 141714432 142637052 190182736 213955578 285274104 380365472 427911156 570548208 760730944 855822312 1141096416 1521461888 1711644624 2282192832 3042923776 3423289248 4564385664 6085847552 6846578496 9128771328 12171695104 13693156992 18257542656 27386313984 36515085312 54772627968 109545255936