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550105041312 = 25321973968113
BaseRepresentation
bin10000000000101001101…
…00001100100110100000
31221120220202200112110100
420000110310030212200
533003103342310222
61100414220102400
754513054462111
oct10002464144640
91846822615410
10550105041312
111a2330a55652
128a745094a00
133cb4a8a7b08
141c8a7898208
15e4998264ac
hex8014d0c9a0

550105041312 has 72 divisors (see below), whose sum is σ = 1565155712484. Its totient is φ = 183275218944.

The previous prime is 550105041251. The next prime is 550105041319. The reversal of 550105041312 is 213140501055.

550105041312 is a `hidden beast` number, since 550 + 10 + 50 + 41 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 544874280336 + 5230760976 = 738156^2 + 72324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (550105041319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84168 + ... + 1052280.

Almost surely, 2550105041312 is an apocalyptic number.

It is an amenable number.

550105041312 is an abundant number, since it is smaller than the sum of its proper divisors (1015050671172).

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

550105041312 is a wasteful number, since it uses less digits than its factorization.

550105041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970102 (or 970091 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 550105041312 its reverse (213140501055), we get a palindrome (763245542367).

The spelling of 550105041312 in words is "five hundred fifty billion, one hundred five million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1973 3946 5919 7892 11838 15784 17757 23676 31568 35514 47352 63136 71028 94704 142056 189408 284112 568224 968113 1936226 2904339 3872452 5808678 7744904 8713017 11617356 15489808 17426034 23234712 30979616 34852068 46469424 69704136 92938848 139408272 278816544 1910086949 3820173898 5730260847 7640347796 11460521694 15280695592 17190782541 22921043388 30561391184 34381565082 45842086776 61122782368 68763130164 91684173552 137526260328 183368347104 275052520656 550105041312