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2729608063 = 75132312
BaseRepresentation
bin1010001010110010…
…1000001101111111
321001020020110022221
42202230220031333
521042234424223
61130504550211
7124433200000
oct24254501577
97036213287
102729608063
111180879a36
12642182367
13346682200
141bc73d1a7
1510e982b5d
hexa2b2837f

2729608063 has 54 divisors (see below), whose sum is σ = 3563146152. Its totient is φ = 2090022480.

The previous prime is 2729608061. The next prime is 2729608069. The reversal of 2729608063 is 3608069272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 2729608063 - 21 = 2729608061 is a prime.

It is a super-2 number, since 2×27296080632 = 14901520355189223938, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729608061) 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 53 ways as a sum of consecutive naturals, for example, 88051858 + ... + 88051888.

It is an arithmetic number, because the mean of its divisors is an integer number (65984188).

Almost surely, 22729608063 is an apocalyptic number.

2729608063 is a deficient number, since it is larger than the sum of its proper divisors (833538089).

2729608063 is an frugal number, since it uses more digits than its factorization.

2729608063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 2729608063 is about 52245.6511395925. The cubic root of 2729608063 is about 1397.5481000210.

The spelling of 2729608063 in words is "two billion, seven hundred twenty-nine million, six hundred eight thousand, sixty-three".

Divisors: 1 7 13 31 49 91 169 217 343 403 637 961 1183 1519 2401 2821 4459 5239 6727 8281 10633 12493 16807 19747 31213 36673 47089 57967 74431 87451 138229 162409 218491 256711 329623 405769 521017 612157 967603 1136863 1796977 2307361 2840383 4285099 6773221 7958041 12578839 16151527 29995693 55706287 88051873 209969851 389944009 2729608063