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1326804496900 = 225222925032
BaseRepresentation
bin10011010011101011101…
…101011111001000000100
311200211201021201222102121
4103103223231133020010
5133214243422400100
62453305305015324
7164600311066561
oct23235355371004
94624637658377
101326804496900
11471770604473
12195188184544
139816a4367ac
1448309459868
15247a723d51a
hex134ebb5f204

1326804496900 has 81 divisors (see below), whose sum is σ = 2897553959391. Its totient is φ = 527353730880.

The previous prime is 1326804496877. The next prime is 1326804496961. The reversal of 1326804496900 is 96944086231.

The square root of 1326804496900 is 1151870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 181082589444 + 1145721907456 = 425538^2 + 1070384^2 .

It is a super-2 number, since 2×13268044969002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2637782049 + ... + 2637782551.

Almost surely, 21326804496900 is an apocalyptic number.

1326804496900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1326804496900 is the 1151870-th square number.

It is an amenable number.

1326804496900 is an abundant number, since it is smaller than the sum of its proper divisors (1570749462491).

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

1326804496900 is an frugal number, since it uses more digits than its factorization.

1326804496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 1326804496900 in words is "one trillion, three hundred twenty-six billion, eight hundred four million, four hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 503 916 1006 1145 2012 2290 2515 4580 5030 5725 10060 11450 12575 22900 25150 50300 52441 104882 115187 209764 230374 253009 262205 460748 506018 524410 575935 1012036 1048820 1151870 1265045 1311025 2303740 2530090 2622050 2879675 5060180 5244100 5759350 6325225 11518700 12650450 25300900 26377823 52755646 57939061 105511292 115878122 131889115 231756244 263778230 289695305 527556460 579390610 659445575 1158781220 1318891150 1448476525 2637782300 2896953050 5793906100 13268044969 26536089938 53072179876 66340224845 132680449690 265360899380 331701124225 663402248450 1326804496900