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55404415440 = 243251124129027
BaseRepresentation
bin110011100110010111…
…000100100111010000
312022000020011220212200
4303212113010213100
51401432012243230
641241420523200
74000654521663
oct634627044720
9168006156780
1055404415440
11215513913a0
12a8a29b0500
1352bc62789a
1429783c56da
151694083160
hexce65c49d0

55404415440 has 240 divisors, whose sum is σ = 203830900416. Its totient is φ = 13375180800.

The previous prime is 55404415433. The next prime is 55404415447. The reversal of 55404415440 is 4451440455.

It is an interprime number because it is at equal distance from previous prime (55404415433) and next prime (55404415447).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×554044154402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55404415395 and 55404415404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55404415447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894207 + ... + 1923233.

Almost surely, 255404415440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55404415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101915450208).

55404415440 is an abundant number, since it is smaller than the sum of its proper divisors (148426484976).

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

55404415440 is a wasteful number, since it uses less digits than its factorization.

55404415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29298 (or 29289 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 55404415440 its reverse (4451440455), we get a palindrome (59855855895).

The spelling of 55404415440 in words is "fifty-five billion, four hundred four million, four hundred fifteen thousand, four hundred forty".