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1327832163856 = 24112261892
BaseRepresentation
bin10011010100101000111…
…101101110011000010000
311200221100220110212110201
4103110220331232120100
5133223400013220411
62453555255304544
7164634630111262
oct23245075563020
94627326425421
101327832163856
11472148704900
1219541437b154
13982a230ca53
14483a5b29b32
15248175873c1
hex13528f6e610

1327832163856 has 45 divisors (see below), whose sum is σ = 2827924103053. Its totient is φ = 603537028160.

The previous prime is 1327832163841. The next prime is 1327832163857. The reversal of 1327832163856 is 6583612387231.

The square root of 1327832163856 is 1152316.

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

It can be written as a sum of positive squares in only one way, i.e., 1091013674256 + 236818489600 = 1044516^2 + 486640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1327832163797 and 1327832163806.

It is not an unprimeable number, because it can be changed into a prime (1327832163857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50688810 + ... + 50714998.

Almost surely, 21327832163856 is an apocalyptic number.

1327832163856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1327832163856 is the 1152316-th square number.

It is an amenable number.

1327832163856 is an abundant number, since it is smaller than the sum of its proper divisors (1500091939197).

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

1327832163856 is an frugal number, since it uses more digits than its factorization.

1327832163856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52408 (or 26202 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The spelling of 1327832163856 in words is "one trillion, three hundred twenty-seven billion, eight hundred thirty-two million, one hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 26189 52378 104756 209512 288079 419024 576158 1152316 2304632 3168869 4609264 6337738 12675476 25350952 50701904 685863721 1371727442 2743454884 5486909768 7544500931 10973819536 15089001862 30178003724 60356007448 82989510241 120712014896 165979020482 331958040964 663916081928 1327832163856