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54113510621040 = 24351317344073917
BaseRepresentation
bin11000100110111010010001…
…00100111111111101110000
321002121012102121002222011120
430103131020210333331300
524043043432204333130
6311031223101542240
714253400144661403
oct1423351044777560
9232535377088146
1054113510621040
1116273458011372
12609b689274980
132426b61133360
14d51172091d3a
1563c93b01b910
hex31374893ff70

54113510621040 has 80 divisors (see below), whose sum is σ = 180655873929888. Its totient is φ = 13320248767488.

The previous prime is 54113510620931. The next prime is 54113510621099. The reversal of 54113510621040 is 4012601531145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 54113510620992 and 54113510621010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8672033839 + ... + 8672040078.

Almost surely, 254113510621040 is an apocalyptic number.

It is an amenable number.

54113510621040 is an abundant number, since it is smaller than the sum of its proper divisors (126542363308848).

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

54113510621040 is a wasteful number, since it uses less digits than its factorization.

54113510621040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344073946 (or 17344073940 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 54113510621040 in words is "fifty-four trillion, one hundred thirteen billion, five hundred ten million, six hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 17344073917 34688147834 52032221751 69376295668 86720369585 104064443502 138752591336 173440739170 208128887004 225472960921 260161108755 277505182672 346881478340 416257774008 450945921842 520322217510 676418882763 693762956680 832515548016 901891843684 1040644435020 1127364804605 1352837765526 1387525913360 1803783687368 2081288870040 2254729609210 2705675531052 3382094413815 3607567374736 4162577740080 4509459218420 5411351062104 6764188827630 9018918436840 10822702124208 13528377655260 18037836873680 27056755310520 54113510621040