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5146274624000 = 295380410541
BaseRepresentation
bin100101011100011010111…
…0111101111001000000000
3200012222102201121221010212
41022320311313233020000
51133304032300432000
614540055501213252
71040543324356646
oct112706567571000
920188381557125
105146274624000
111704582953574
126b1470b61228
132b43a38a6713
1413b11c46d196
158dcee225c35
hex4ae35def200

5146274624000 has 80 divisors (see below), whose sum is σ = 12832557576696. Its totient is φ = 2058509824000.

The previous prime is 5146274623933. The next prime is 5146274624017. The reversal of 5146274624000 is 4264726415.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 838557769984 + 4307716854016 = 915728^2 + 2075504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40141271 + ... + 40269270.

Almost surely, 25146274624000 is an apocalyptic number.

5146274624000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5146274624000 is an abundant number, since it is smaller than the sum of its proper divisors (7686282952696).

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

5146274624000 is an frugal number, since it uses more digits than its factorization.

5146274624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80410574 (or 80410548 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 5146274624000 in words is "five trillion, one hundred forty-six billion, two hundred seventy-four million, six hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 80410541 160821082 321642164 402052705 643284328 804105410 1286568656 1608210820 2010263525 2573137312 3216421640 4020527050 5146274624 6432843280 8041054100 10051317625 10292549248 12865686560 16082108200 20102635250 20585098496 25731373120 32164216400 40205270500 41170196992 51462746240 64328432800 80410541000 102925492480 128656865600 160821082000 205850984960 257313731200 321642164000 514627462400 643284328000 1029254924800 1286568656000 2573137312000 5146274624000