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104436541332 = 223218077160481
BaseRepresentation
bin110000101000011100…
…1110010011110010100
3100222120100202222211100
41201100321302132110
53202341223310312
6115551045310100
710355014645224
oct1412071623624
9328510688740
10104436541332
1140322783292
12182a7705330
139b049c7c26
1450aa36c084
152ab39905dc
hex1850e72794

104436541332 has 36 divisors (see below), whose sum is σ = 264008617236. Its totient is φ = 34810037760.

The previous prime is 104436541331. The next prime is 104436541351. The reversal of 104436541332 is 233145634401.

104436541332 is a `hidden beast` number, since 10 + 44 + 36 + 541 + 3 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58261407876 + 46175133456 = 241374^2 + 214884^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104436541331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 570532 + ... + 731012.

It is an arithmetic number, because the mean of its divisors is an integer number (7333572701).

Almost surely, 2104436541332 is an apocalyptic number.

104436541332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104436541332 is an abundant number, since it is smaller than the sum of its proper divisors (159572075904).

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

104436541332 is a wasteful number, since it uses less digits than its factorization.

104436541332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178568 (or 178563 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 104436541332 in words is "one hundred four billion, four hundred thirty-six million, five hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 18077 36154 54231 72308 108462 160481 162693 216924 320962 325386 481443 641924 650772 962886 1444329 1925772 2888658 5777316 2901015037 5802030074 8703045111 11604060148 17406090222 26109135333 34812180444 52218270666 104436541332