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2712128214 = 2323151157829
BaseRepresentation
bin1010000110100111…
…1100101011010110
321000000100101111010
42201221330223112
521023301100324
61125042153050
7124131465225
oct24151745326
97000311433
102712128214
111171a20084
12638352786
13342b71bc3
141ba2accbc
1510d17d829
hexa1a7cad6

2712128214 has 64 divisors (see below), whose sum is σ = 5740784640. Its totient is φ = 852508800.

The previous prime is 2712128213. The next prime is 2712128249. The reversal of 2712128214 is 4128212172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712128213) 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, 3271152 + ... + 3271980.

It is an arithmetic number, because the mean of its divisors is an integer number (89699760).

Almost surely, 22712128214 is an apocalyptic number.

2712128214 is an abundant number, since it is smaller than the sum of its proper divisors (3028656426).

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

2712128214 is a wasteful number, since it uses less digits than its factorization.

2712128214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165.

The product of its digits is 3584, while the sum is 30.

The square root of 2712128214 is about 52078.0972578684. The cubic root of 2712128214 is about 1394.5585057331.

The spelling of 2712128214 in words is "two billion, seven hundred twelve million, one hundred twenty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 151 157 302 314 453 471 829 906 942 1658 2487 3473 3611 4974 6946 7222 10419 10833 19067 20838 21666 23707 38134 47414 57201 71121 114402 125179 130153 142242 250358 260306 375537 390459 545261 751074 780918 1090522 1635783 2879117 2993519 3271566 5758234 5987038 8637351 8980557 17274702 17961114 19653103 39306206 58959309 117918618 452021369 904042738 1356064107 2712128214