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2729226564 = 223287072
BaseRepresentation
bin1010001010101100…
…1011000101000100
321001012112002000100
42202223023011010
521042140222224
61130452444100
7124430020521
oct24253130504
97035462010
102729226564
111180639349
12642019630
1334657a67c
141bc680148
1510e909ac9
hexa2acb144

2729226564 has 27 divisors (see below), whose sum is σ = 6899670687. Its totient is φ = 909637704.

The previous prime is 2729226551. The next prime is 2729226583. The reversal of 2729226564 is 4656229272.

The square root of 2729226564 is 52242.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 309099 + ... + 317805.

Almost surely, 22729226564 is an apocalyptic number.

2729226564 is the 52242-nd square number.

It is an amenable number.

2729226564 is an abundant number, since it is smaller than the sum of its proper divisors (4170444123).

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

2729226564 is an frugal number, since it uses more digits than its factorization.

2729226564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17424 (or 8712 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 2729226564 is about 1397.4829883480.

The spelling of 2729226564 in words is "two billion, seven hundred twenty-nine million, two hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8707 17414 26121 34828 52242 78363 104484 156726 313452 75811849 151623698 227435547 303247396 454871094 682306641 909742188 1364613282 2729226564