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2128732408125 = 32541240130517
BaseRepresentation
bin11110111110100010010…
…101101100100100111101
321112111122000120202102200
4132332202111230210331
5234334120444030000
64305532015142113
7306536654630211
oct36764225544475
97474560522380
102128732408125
11750876a48424
122a4690214939
1312597a93a02b
1475061872941
153a58e903500
hex1efa256c93d

2128732408125 has 60 divisors (see below), whose sum is σ = 3842750448108. Its totient is φ = 1135195200000.

The previous prime is 2128732408093. The next prime is 2128732408133. The reversal of 2128732408125 is 5218042378212.

2128732408125 is a `hidden beast` number, since 2 + 1 + 287 + 3 + 240 + 8 + 125 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2119408960761 + 9323447364 = 1455819^2 + 96558^2 .

It is not a de Polignac number, because 2128732408125 - 25 = 2128732408093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69740367 + ... + 69770883.

Almost surely, 22128732408125 is an apocalyptic number.

2128732408125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2128732408125 is a deficient number, since it is larger than the sum of its proper divisors (1714018039983).

2128732408125 is a wasteful number, since it uses less digits than its factorization.

2128732408125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42944 (or 42926 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2128732408125 in words is "two trillion, one hundred twenty-eight billion, seven hundred thirty-two million, four hundred eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 12401 30517 37203 62005 91551 111609 152585 186015 274653 310025 457755 558045 762925 930075 1373265 1550125 2288775 2790225 3814625 4650375 6866325 7750625 11443875 13951125 19073125 23251875 34331625 57219375 69755625 171658125 378441317 1135323951 1892206585 3405971853 5676619755 9461032925 17029859265 28383098775 47305164625 85149296325 141915493875 236525823125 425746481625 709577469375 2128732408125