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34484969804880 = 2435720526767741
BaseRepresentation
bin1111101011101001010000…
…11000000001010001010000
311112002201201211122011001110
413311310220120001101100
514010000204232224010
6201202102035133320
710156312461622110
oct765645030012120
9145081654564043
1034484969804880
11aa95aa2485061
123a4b502744240
131631bc34c696a
1487311d6a9040
153ec0770db120
hex1f5d28601450

34484969804880 has 80 divisors (see below), whose sum is σ = 122175321600384. Its totient is φ = 7882278812160.

The previous prime is 34484969804861. The next prime is 34484969804917. The reversal of 34484969804880 is 8840896948443.

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

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, 10263382191 + ... + 10263385550.

Almost surely, 234484969804880 is an apocalyptic number.

34484969804880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34484969804880 is an abundant number, since it is smaller than the sum of its proper divisors (87690351795504).

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

34484969804880 is a wasteful number, since it uses less digits than its factorization.

34484969804880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526767764 (or 20526767758 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 75.

The spelling of 34484969804880 in words is "thirty-four trillion, four hundred eighty-four billion, nine hundred sixty-nine million, eight hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 20526767741 41053535482 61580303223 82107070964 102633838705 123160606446 143687374187 164214141928 205267677410 246321212892 287374748374 307901516115 328428283856 410535354820 431062122561 492642425784 574749496748 615803032230 718436870935 821070709640 862124245122 985284851568 1149498993496 1231606064460 1436873741870 1642141419280 1724248490244 2155310612805 2298997986992 2463212128920 2873747483740 3448496980488 4310621225610 4926424257840 5747494967480 6896993960976 8621242451220 11494989934960 17242484902440 34484969804880