Search a number
-
+
1055556110052 = 223229321003057
BaseRepresentation
bin11110101110001000000…
…11000000011011100100
310201220120112001020020200
433113010003000123210
5114243234331010202
62124525450430500
7136155443616243
oct17270403003344
93656515036220
101055556110052
113777279a6734
121506a7732430
1378700166742
1439136a3895a
151c6cdcb0e1c
hexf5c40c06e4

1055556110052 has 18 divisors (see below), whose sum is σ = 2668211278278. Its totient is φ = 351852036672.

The previous prime is 1055556110047. The next prime is 1055556110087. The reversal of 1055556110052 is 2500116555501.

1055556110052 is a `hidden beast` number, since 1 + 0 + 55 + 556 + 1 + 1 + 0 + 0 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 733325046336 + 322231063716 = 856344^2 + 567654^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10555561100522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 29321003057 = 1055556110052 / (1 + 0 + 5 + 5 + 5 + 5 + 6 + 1 + 1 + 0 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1055556109989 and 1055556110016.

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 5 ways as a sum of consecutive naturals, for example, 14660501493 + ... + 14660501564.

Almost surely, 21055556110052 is an apocalyptic number.

1055556110052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1055556110052 is an abundant number, since it is smaller than the sum of its proper divisors (1612655168226).

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

1055556110052 is a wasteful number, since it uses less digits than its factorization.

1055556110052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29321003067 (or 29321003062 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 1055556110052 in words is "one trillion, fifty-five billion, five hundred fifty-six million, one hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 29321003057 58642006114 87963009171 117284012228 175926018342 263889027513 351852036684 527778055026 1055556110052