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5505111054 = 235171096113
BaseRepresentation
bin1010010000010000…
…10101010000001110
3112012122211121200000
411020020111100032
542233302023204
62310133345130
7253264446312
oct51010252016
915178747600
105505111054
112375545463
1210977981a6
136996b3181
143a31c7b42
1522347e039
hex14821540e

5505111054 has 96 divisors (see below), whose sum is σ = 13219446240. Its totient is φ = 1710968832.

The previous prime is 5505111047. The next prime is 5505111083. The reversal of 5505111054 is 4501115055.

5505111054 is a `hidden beast` number, since 550 + 5 + 1 + 1 + 105 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897502 + ... + 903614.

It is an arithmetic number, because the mean of its divisors is an integer number (137702565).

Almost surely, 25505111054 is an apocalyptic number.

5505111054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505111054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609723120).

5505111054 is an abundant number, since it is smaller than the sum of its proper divisors (7714335186).

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

5505111054 is a wasteful number, since it uses less digits than its factorization.

5505111054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 5505111054 is about 74196.4355882410. The cubic root of 5505111054 is about 1765.7207802267.

The spelling of 5505111054 in words is "five billion, five hundred five million, one hundred eleven thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 109 153 162 218 243 306 327 459 486 654 918 981 1377 1853 1962 2754 2943 3706 4131 5559 5886 6113 8262 8829 11118 12226 16677 17658 18339 26487 33354 36678 50031 52974 55017 100062 103921 110034 150093 165051 207842 300186 311763 330102 450279 495153 623526 666317 900558 935289 990306 1332634 1485459 1870578 1998951 2805867 2970918 3997902 5611734 5996853 8417601 11327389 11993706 16835202 17990559 22654778 25252803 33982167 35981118 50505606 53971677 67964334 101946501 107943354 161915031 203893002 305839503 323830062 611679006 917518509 1835037018 2752555527 5505111054