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116146390625 = 5617489
BaseRepresentation
bin110110000101011011…
…1010100011001100001
3102002210102220222020022
41230022313110121201
53400331434000000
6125205032123225
711251134013436
oct1541267243141
9362712828208
10116146390625
1145291678391
121a615236515
13ac4c9cca35
14589b61bb8d
15304b9ea585
hex1b0add4661

116146390625 has 70 divisors (see below), whose sum is σ = 155988042390. Its totient is φ = 86468800000.

The previous prime is 116146390621. The next prime is 116146390667. The reversal of 116146390625 is 526093641611.

It can be written as a sum of positive squares in 35 ways, for example, as 16950998416 + 99195392209 = 130196^2 + 314953^2 .

It is not a de Polignac number, because 116146390625 - 22 = 116146390621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116146390621) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1305015581 + ... + 1305015669.

Almost surely, 2116146390625 is an apocalyptic number.

It is an amenable number.

116146390625 is a deficient number, since it is larger than the sum of its proper divisors (39841651765).

116146390625 is an frugal number, since it uses more digits than its factorization.

116146390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 116146390625 in words is "one hundred sixteen billion, one hundred forty-six million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 89 125 289 425 445 625 1445 1513 2125 2225 3125 4913 7225 7565 10625 11125 15625 24565 25721 36125 37825 53125 55625 83521 122825 128605 180625 189125 265625 278125 417605 437257 614125 643025 903125 945625 1390625 2088025 2186285 3070625 3215125 4515625 4728125 7433369 10440125 10931425 15353125 16075625 23640625 37166845 52200625 54657125 76765625 80378125 185834225 261003125 273285625 401890625 929171125 1305015625 1366428125 4645855625 6832140625 23229278125 116146390625