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2725115106 = 23732834679
BaseRepresentation
bin1010001001101101…
…1111010011100010
321000220210012011010
42202123133103202
521040112140411
61130224401350
7124350045000
oct24233372342
97026705133
102725115106
11117929034a
12640776256
1334576b15c
141bbccda70
1510e3967a6
hexa26df4e2

2725115106 has 64 divisors (see below), whose sum is σ = 6379776000. Its totient is φ = 775687248.

The previous prime is 2725115101. The next prime is 2725115117. The reversal of 2725115106 is 6015115272.

It is not an unprimeable number, because it can be changed into a prime (2725115101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 580075 + ... + 584753.

It is an arithmetic number, because the mean of its divisors is an integer number (99684000).

Almost surely, 22725115106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725115106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189888000).

2725115106 is an abundant number, since it is smaller than the sum of its proper divisors (3654660894).

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

2725115106 is a wasteful number, since it uses less digits than its factorization.

2725115106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 2725115106 is about 52202.6350484341. The cubic root of 2725115106 is about 1396.7808870866.

The spelling of 2725115106 in words is "two billion, seven hundred twenty-five million, one hundred fifteen thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 283 294 343 566 686 849 1029 1698 1981 2058 3962 4679 5943 9358 11886 13867 14037 27734 28074 32753 41601 65506 83202 97069 98259 194138 196518 229271 291207 458542 582414 687813 1324157 1375626 1604897 2648314 3209794 3972471 4814691 7944942 9269099 9629382 18538198 27807297 55614594 64883693 129767386 194651079 389302158 454185851 908371702 1362557553 2725115106