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474434536434100 = 225211239209465821
BaseRepresentation
bin110101111011111101110011…
…0000000110110100110110100
32022012211111110120112120221021
41223313323212000312212310
5444141113412311342400
64401012114524230524
7201634523043225664
oct15367734600664664
92265744416476837
10474434536434100
11128195614374900
124526471239b444
1317495ca5845828
148522a7b2cc1a4
1539cb1e74da71a
hex1af7ee60369b4

474434536434100 has 54 divisors (see below), whose sum is σ = 1131624393088742. Its totient is φ = 172521649608000.

The previous prime is 474434536433903. The next prime is 474434536434137. The reversal of 474434536434100 is 1434635434474.

It can be written as a sum of positive squares in 3 ways, for example, as 122642423955216 + 351792112478884 = 11074404^2 + 18756122^2 .

It is a super-2 number, since 2×4744345364341002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19604720811 + ... + 19604745010.

Almost surely, 2474434536434100 is an apocalyptic number.

It is an amenable number.

474434536434100 is an abundant number, since it is smaller than the sum of its proper divisors (657189856654642).

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

474434536434100 is a wasteful number, since it uses less digits than its factorization.

474434536434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39209465857 (or 39209465839 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 52.

The spelling of 474434536434100 in words is "four hundred seventy-four trillion, four hundred thirty-four billion, five hundred thirty-six million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 39209465821 78418931642 156837863284 196047329105 392094658210 431304124031 784189316420 862608248062 980236645525 1725216496124 1960473291050 2156520620155 3920946582100 4313041240310 4744345364341 8626082480620 9488690728682 10782603100775 18977381457364 21565206201550 23721726821705 43130412403100 47443453643410 94886907286820 118608634108525 237217268217050 474434536434100