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716334912 = 26329712821
BaseRepresentation
bin101010101100100…
…110011101000000
31211220220120202200
4222230212131000
52431340204122
6155025313200
723515513656
oct5254463500
91756816680
10716334912
11338397027
1217ba95800
13b553b517
146b1cadd6
1542d4c5ac
hex2ab26740

716334912 has 84 divisors (see below), whose sum is σ = 2074573956. Its totient is φ = 236298240.

The previous prime is 716334889. The next prime is 716334929. The reversal of 716334912 is 219433617.

716334912 is a `hidden beast` number, since 7 + 1 + 633 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 559984896 = 12504^2 + 23664^2 .

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 49462 + ... + 62282.

It is an arithmetic number, because the mean of its divisors is an integer number (24697309).

Almost surely, 2716334912 is an apocalyptic number.

716334912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037286978).

716334912 is an abundant number, since it is smaller than the sum of its proper divisors (1358239044).

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

716334912 is a wasteful number, since it uses less digits than its factorization.

716334912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936 (or 12923 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 716334912 is about 26764.4337134190. The cubic root of 716334912 is about 894.7575519645.

The spelling of 716334912 in words is "seven hundred sixteen million, three hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 12821 13968 18624 25642 27936 38463 51284 55872 76926 102568 115389 153852 205136 230778 307704 410272 461556 615408 820544 923112 1230816 1243637 1846224 2461632 2487274 3692448 3730911 4974548 7384896 7461822 9949096 11192733 14923644 19898192 22385466 29847288 39796384 44770932 59694576 79592768 89541864 119389152 179083728 238778304 358167456 716334912