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2725180068 = 223131091391153
BaseRepresentation
bin1010001001101110…
…1111001010100100
321000220220111021010
42202123233022210
521040121230233
61130230022220
7124350435252
oct24233571244
97026814233
102725180068
111179325136
126407a7970
133457918b0
141bbd095d2
1510e3aab63
hexa26ef2a4

2725180068 has 96 divisors (see below), whose sum is σ = 6966467200. Its totient is φ = 824131584.

The previous prime is 2725180061. The next prime is 2725180069. The reversal of 2725180068 is 8600815272.

2725180068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2725180061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2362980 + ... + 2364132.

Almost surely, 22725180068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725180068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483233600).

2725180068 is an abundant number, since it is smaller than the sum of its proper divisors (4241287132).

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

2725180068 is a wasteful number, since it uses less digits than its factorization.

2725180068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2725180068 is about 52203.2572546963. The cubic root of 2725180068 is about 1396.7919859400.

The spelling of 2725180068 in words is "two billion, seven hundred twenty-five million, one hundred eighty thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 139 156 218 278 327 417 436 556 654 834 1153 1308 1417 1668 1807 2306 2834 3459 3614 4251 4612 5421 5668 6918 7228 8502 10842 13836 14989 15151 17004 21684 29978 30302 44967 45453 59956 60604 89934 90906 125677 160267 179868 181812 196963 251354 320534 377031 393926 480801 502708 590889 641068 754062 787852 961602 1181778 1508124 1633801 1923204 2083471 2363556 3267602 4166942 4901403 6250413 6535204 8333884 9802806 12500826 17469103 19605612 25001652 34938206 52407309 69876412 104814618 209629236 227098339 454196678 681295017 908393356 1362590034 2725180068