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2975580125 = 5372172412
BaseRepresentation
bin1011000101011011…
…1011111111011101
321200101002010120022
42301112323333131
522043222031000
61211133001525
7133511004500
oct26126737735
97611063508
102975580125
111297701431
126b06232a5
133856143cb
1420328b137
1512636d585
hexb15bbfdd

2975580125 has 108 divisors (see below), whose sum is σ = 4703521212. Its totient is φ = 1873536000.

The previous prime is 2975580107. The next prime is 2975580191. The reversal of 2975580125 is 5210855792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 2952183556 + 23396569 = 54334^2 + 4837^2 .

It is not a de Polignac number, because 2975580125 - 224 = 2958802909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72575105 + ... + 72575145.

Almost surely, 22975580125 is an apocalyptic number.

2975580125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2975580125 is a deficient number, since it is larger than the sum of its proper divisors (1727941087).

2975580125 is an equidigital number, since it uses as much as digits as its factorization.

2975580125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The square root of 2975580125 is about 54548.8783111074. The cubic root of 2975580125 is about 1438.3256202367.

The spelling of 2975580125 in words is "two billion, nine hundred seventy-five million, five hundred eighty thousand, one hundred twenty-five".

Divisors: 1 5 7 17 25 35 41 49 85 119 125 175 205 245 287 289 425 595 697 833 875 1025 1225 1435 1445 1681 2009 2023 2125 2975 3485 4165 4879 5125 6125 7175 7225 8405 10045 10115 11767 11849 14161 14875 17425 20825 24395 28577 34153 35875 36125 42025 50225 50575 58835 59245 70805 82369 82943 87125 104125 121975 142885 170765 200039 210125 251125 252875 294175 296225 354025 411845 414715 485809 580601 609875 714425 853825 1000195 1400273 1470875 1481125 1770125 2059225 2073575 2429045 2903005 3400663 3572125 4269125 5000975 7001365 10296125 10367875 12145225 14515025 17003315 23804641 25004875 35006825 60726125 72575125 85016575 119023205 175034125 425082875 595116025 2975580125