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55010012113364 = 227211217211297109
BaseRepresentation
bin11001000001000000001000…
…01110110010100111010100
321012202220110022211110002112
430200200010032302213110
524202241001100111424
6312555130052130152
714405225244636200
oct1440400416624724
9235686408743075
1055010012113364
1116589684803600
126205385906958
132490563b56179
14d826da987b00
15655e0b33360e
hex3208043b29d4

55010012113364 has 324 divisors, whose sum is σ = 130891352816700. Its totient is φ = 20151036702720.

The previous prime is 55010012113319. The next prime is 55010012113403. The reversal of 55010012113364 is 46331121001055.

It can be written as a sum of positive squares in 6 ways, for example, as 1196197189264 + 53813814924100 = 1093708^2 + 7335790^2 .

It is a super-2 number, since 2×550100121133642 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55010012113364.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 7738076642 + ... + 7738083750.

Almost surely, 255010012113364 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 55010012113364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65445676408350).

55010012113364 is an abundant number, since it is smaller than the sum of its proper divisors (75881340703336).

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

55010012113364 is a wasteful number, since it uses less digits than its factorization.

55010012113364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 55010012113364 in words is "fifty-five trillion, ten billion, twelve million, one hundred thirteen thousand, three hundred sixty-four".