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55420693056 = 26321725772
BaseRepresentation
bin110011100111010101…
…001010101001000000
312022001100210220120100
4303213111022221000
51402000144134211
641243201442400
74001243055411
oct634725125100
9168040726510
1055420693056
112155a599a73
12a8a8340400
1352c2b06901
14297a621808
1516956eb156
hexce754aa40

55420693056 has 189 divisors, whose sum is σ = 169040357499. Its totient is φ = 17356750848.

The previous prime is 55420692973. The next prime is 55420693091. The reversal of 55420693056 is 65039602455.

The square root of 55420693056 is 235416.

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

55420693056 is a `hidden beast` number, since 554 + 2 + 0 + 6 + 93 + 0 + 5 + 6 = 666.

55420693056 is a nontrivial binomial coefficient, being equal to C(332929, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 39118510656 + 16302182400 = 197784^2 + 127680^2 .

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, 96049440 + ... + 96050016.

Almost surely, 255420693056 is an apocalyptic number.

55420693056 is the 332928-th triangular number and also the 235416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55420693056

55420693056 is an abundant number, since it is smaller than the sum of its proper divisors (113619664443).

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

55420693056 is an equidigital number, since it uses as much as digits as its factorization.

55420693056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

It can be divided in two parts, 55420 and 693056, that added together give a triangular number (748476 = T1223).

The spelling of 55420693056 in words is "fifty-five billion, four hundred twenty million, six hundred ninety-three thousand, fifty-six".