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4426530345000 = 23325498367341
BaseRepresentation
bin100000001101010000111…
…0001001101000000101000
3120200011122111210020102100
41000122201301031000220
51040011013232020000
613225304151333400
7634543356056541
oct100324161150050
916604574706370
104426530345000
11145730aa86925
125b5a84081260
1326155ca2856a
14114360c0b4c8
157a226ab6a00
hex406a1c4d028

4426530345000 has 120 divisors (see below), whose sum is σ = 14980854349890. Its totient is φ = 1180408080000.

The previous prime is 4426530344993. The next prime is 4426530345059. The reversal of 4426530345000 is 5430356244.

4426530345000 is a `hidden beast` number, since 4 + 42 + 6 + 530 + 34 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1119705444 + 4425410639556 = 33462^2 + 2103666^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 49138671 + ... + 49228670.

Almost surely, 24426530345000 is an apocalyptic number.

4426530345000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4426530345000 is an abundant number, since it is smaller than the sum of its proper divisors (10554324004890).

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

4426530345000 is a wasteful number, since it uses less digits than its factorization.

4426530345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98367373 (or 98367351 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 4426530345000 in words is "four trillion, four hundred twenty-six billion, five hundred thirty million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 98367341 196734682 295102023 393469364 491836705 590204046 786938728 885306069 983673410 1180408092 1475510115 1770612138 1967346820 2360816184 2459183525 2951020230 3541224276 3934693640 4426530345 4918367050 5902040460 7082448552 7377550575 8853060690 9836734100 11804080920 12295917625 14755101150 17706121380 19673468200 22132651725 24591835250 29510202300 35412242760 36887752875 44265303450 49183670500 59020404600 61479588125 73775505750 88530606900 98367341000 110663258625 122959176250 147551011500 177061213800 184438764375 221326517250 245918352500 295102023000 368877528750 442653034500 491836705000 553316293125 737755057500 885306069000 1106632586250 1475510115000 2213265172500 4426530345000