Search a number
-
+
1185180835428 = 223261135385521
BaseRepresentation
bin10001001111110010010…
…010000101111001100100
311012022011021211112212100
4101033302102011321210
5123404222243213203
62304244202252100
7151424612611422
oct21176222057144
94168137745770
101185180835428
114176a5758447
121718427b7030
13879ba375b85
1441512338112
1520c68be6ea3
hex113f2485e64

1185180835428 has 36 divisors (see below), whose sum is σ = 2996364417228. Its totient is φ = 394995578880.

The previous prime is 1185180835373. The next prime is 1185180835429. The reversal of 1185180835428 is 8245380815811.

It is a happy number.

1185180835428 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 18 + 0 + 83 + 542 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 280357542144 + 904823293284 = 529488^2 + 951222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11851808354282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1185180835429) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2472693 + ... + 2912828.

It is an arithmetic number, because the mean of its divisors is an integer number (83232344923).

Almost surely, 21185180835428 is an apocalyptic number.

1185180835428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1185180835428 is an abundant number, since it is smaller than the sum of its proper divisors (1811183581800).

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

1185180835428 is a wasteful number, since it uses less digits than its factorization.

1185180835428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391644 (or 5391639 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 1185180835428 in words is "one trillion, one hundred eighty-five billion, one hundred eighty million, eight hundred thirty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6113 12226 18339 24452 36678 55017 73356 110034 220068 5385521 10771042 16156563 21542084 32313126 48469689 64626252 96939378 193878756 32921689873 65843379746 98765069619 131686759492 197530139238 296295208857 395060278476 592590417714 1185180835428