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55587549240080 = 2451113192331358681
BaseRepresentation
bin11001010001110011111000…
…01000000101101100010000
321021211010011212211022022222
430220321330020011230100
524241221300101140310
6314120322333120212
714465032201341554
oct1450717410055420
9237733155738288
1055587549240080
1116791602421a10
1262992a5929068
132502b63aa8380
14da26477db864
15665e5e0e0055
hex328e7c205b10

55587549240080 has 640 divisors, whose sum is σ = 172156341288960. Its totient is φ = 16362694656000.

The previous prime is 55587549240073. The next prime is 55587549240133. The reversal of 55587549240080 is 8004294578555.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 55587549239995 and 55587549240022.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 154798340 + ... + 155157020.

It is an arithmetic number, because the mean of its divisors is an integer number (268994283264).

Almost surely, 255587549240080 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 55587549240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86078170644480).

55587549240080 is an abundant number, since it is smaller than the sum of its proper divisors (116568792048880).

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

55587549240080 is a wasteful number, since it uses less digits than its factorization.

55587549240080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358791 (or 358785 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 62.

The spelling of 55587549240080 in words is "fifty-five trillion, five hundred eighty-seven billion, five hundred forty-nine million, two hundred forty thousand, eighty".