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41758105104 = 2432170292
BaseRepresentation
bin100110111000111110…
…100001111000010000
310222210012020112022100
4212320332201320100
51141010033330404
631103341040400
73005543015442
oct467076417020
9128705215270
1041758105104
11167893a8471
128114856100
133c26394441
142041c9a492
151146016d39
hex9b8fa1e10

41758105104 has 45 divisors (see below), whose sum is σ = 116871560013. Its totient is φ = 13918550976.

The previous prime is 41758105073. The next prime is 41758105117. The reversal of 41758105104 is 40150185714.

The square root of 41758105104 is 204348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33396831504 + 8361273600 = 182748^2 + 91440^2 .

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

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 8 ways as a sum of consecutive naturals, for example, 2443662 + ... + 2460690.

Almost surely, 241758105104 is an apocalyptic number.

41758105104 is the 204348-th square number.

It is an amenable number.

41758105104 is an abundant number, since it is smaller than the sum of its proper divisors (75113454909).

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

41758105104 is an frugal number, since it uses more digits than its factorization.

41758105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34072 (or 17034 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Multiplying 41758105104 by its sum of digits (36), we get a square (1503291783744 = 12260882).

41758105104 divided by its sum of digits (36) gives a square (1159947364 = 340582).

The spelling of 41758105104 in words is "forty-one billion, seven hundred fifty-eight million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 17029 34058 51087 68116 102174 136232 153261 204348 272464 306522 408696 613044 817392 1226088 2452176 289986841 579973682 869960523 1159947364 1739921046 2319894728 2609881569 3479842092 4639789456 5219763138 6959684184 10439526276 13919368368 20879052552 41758105104