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2146832712 = 23329723169
BaseRepresentation
bin111111111110110…
…0001000101001000
312112121122101211200
41333331201011020
513344042121322
6553010024200
7104125530333
oct17775410510
95477571750
102146832712
11a01916212
124bab78060
13282a0771b
1416519b61a
15c87188ac
hex7ff61148

2146832712 has 72 divisors (see below), whose sum is σ = 5876752050. Its totient is φ = 708009984.

The previous prime is 2146832657. The next prime is 2146832729. The reversal of 2146832712 is 2172386412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1998626436 + 148206276 = 44706^2 + 12174^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 675864 + ... + 679032.

Almost surely, 22146832712 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 2146832712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938376025).

2146832712 is an abundant number, since it is smaller than the sum of its proper divisors (3729919338).

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

2146832712 is a wasteful number, since it uses less digits than its factorization.

2146832712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3271 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2146832712 is about 46333.9261448887. The cubic root of 2146832712 is about 1290.0287860892.

The spelling of 2146832712 in words is "two billion, one hundred forty-six million, eight hundred thirty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3169 3492 6338 6984 9409 9507 12676 18818 19014 25352 28227 28521 37636 38028 56454 57042 75272 76056 84681 112908 114084 169362 225816 228168 307393 338724 614786 677448 922179 1229572 1844358 2459144 2766537 3688716 5533074 7377432 11066148 22132296 29817121 59634242 89451363 119268484 178902726 238536968 268354089 357805452 536708178 715610904 1073416356 2146832712