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2725160334 = 2313293732561
BaseRepresentation
bin1010001001101110…
…1010010110001110
321000220212111012020
42202123222112032
521040120112314
61130225351010
7124350323601
oct24233522616
97026774166
102725160334
111179311326
12640798466
13345785910
141bbd02338
1510e3a4da9
hexa26ea58e

2725160334 has 64 divisors (see below), whose sum is σ = 6236274240. Its totient is φ = 787691520.

The previous prime is 2725160239. The next prime is 2725160351. The reversal of 2725160334 is 4330615272.

2725160334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2725160295 and 2725160304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67414 + ... + 99974.

It is an arithmetic number, because the mean of its divisors is an integer number (97441785).

Almost surely, 22725160334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725160334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118137120).

2725160334 is an abundant number, since it is smaller than the sum of its proper divisors (3511113906).

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

2725160334 is a wasteful number, since it uses less digits than its factorization.

2725160334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32645.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2725160334 is about 52203.0682431598. The cubic root of 2725160334 is about 1396.7886143757.

The spelling of 2725160334 in words is "two billion, seven hundred twenty-five million, one hundred sixty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 29 37 39 58 74 78 87 111 174 222 377 481 754 962 1073 1131 1443 2146 2262 2886 3219 6438 13949 27898 32561 41847 65122 83694 97683 195366 423293 846586 944269 1204757 1269879 1888538 2409514 2539758 2832807 3614271 5665614 7228542 12275497 15661841 24550994 31323682 34937953 36826491 46985523 69875906 73652982 93971046 104813859 209627718 454193389 908386778 1362580167 2725160334