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46875246345125 = 531131673894337
BaseRepresentation
bin10101010100001111111100…
…11010000011101110100101
320010222020012111212200121122
422222013332122003232211
522121001001031021000
6243410105122023325
712605424205534352
oct1252077632035645
9203866174780548
1046875246345125
1113a32753588000
1253108a11a7b45
132020416c100a3
14b80ab9d11629
155644ece70085
hex2aa1fe683ba5

46875246345125 has 128 divisors (see below), whose sum is σ = 64912615971840. Its totient is φ = 33792043648000.

The previous prime is 46875246345113. The next prime is 46875246345133. The reversal of 46875246345125 is 52154364257864.

It is a happy number.

It is not a de Polignac number, because 46875246345125 - 26 = 46875246345061 is a prime.

It is a super-2 number, since 2×468752463451252 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10808216957 + ... + 10808221293.

It is an arithmetic number, because the mean of its divisors is an integer number (507129812280).

Almost surely, 246875246345125 is an apocalyptic number.

It is an amenable number.

46875246345125 is a deficient number, since it is larger than the sum of its proper divisors (18037369626715).

46875246345125 is a wasteful number, since it uses less digits than its factorization.

46875246345125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4909 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 62.

The spelling of 46875246345125 in words is "forty-six trillion, eight hundred seventy-five billion, two hundred forty-six million, three hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 167 275 389 605 835 1331 1375 1837 1945 3025 4175 4279 4337 6655 9185 9725 15125 20207 20875 21395 21685 33275 45925 47069 47707 48625 64963 101035 106975 108425 166375 222277 229625 235345 238535 324815 505175 517759 524777 534875 542125 714593 724279 1111385 1176725 1192675 1624075 1687093 2525875 2588795 2623885 3572965 3621395 5556925 5772547 5883625 5963375 7860523 7967069 8120375 8435465 12943975 13119425 17864825 18106975 18558023 27784625 28862735 39302615 39835345 42177325 64719875 65597125 86465753 87637759 89324125 90534875 92790115 144313675 196513075 199176725 204138253 210886625 281744531 432328765 438188795 463950575 721568375 964015349 982565375 995883625 1020691265 1408722655 2161643825 2190943975 2245520783 2319752875 3099189841 4820076745 5103456325 7043613275 10808219125 10954719875 11227603915 15495949205 24100383725 25517281625 34091088251 35218066375 56138019575 77479746025 120501918625 170455441255 280690097875 375001970761 387398730125 852277206275 1875009853805 4261386031375 9375049269025 46875246345125