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67718998228 = 227217118117209
BaseRepresentation
bin111111000100010111…
…011110100011010100
320110210110020112200111
4333010113132203110
52102142030420403
651035405052404
74615065662500
oct770427364324
9213713215614
1067718998228
11267a0677742
121115ab57104
1365029c496b
1433c5ad1300
151b6524356d
hexfc45de8d4

67718998228 has 72 divisors (see below), whose sum is σ = 146097824040. Its totient is φ = 27290511360.

The previous prime is 67718998169. The next prime is 67718998261. The reversal of 67718998228 is 82289981776.

It can be written as a sum of positive squares in 4 ways, for example, as 32404320144 + 35314678084 = 180012^2 + 187922^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3926488 + ... + 3943696.

It is an arithmetic number, because the mean of its divisors is an integer number (2029136445).

Almost surely, 267718998228 is an apocalyptic number.

67718998228 is a gapful number since it is divisible by the number (68) 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 67718998228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73048912020).

67718998228 is an abundant number, since it is smaller than the sum of its proper divisors (78378825812).

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

67718998228 is a wasteful number, since it uses less digits than its factorization.

67718998228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18425 (or 18416 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 67.

The spelling of 67718998228 in words is "sixty-seven billion, seven hundred eighteen million, nine hundred ninety-eight thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1181 1666 2362 3332 4724 8267 16534 17209 20077 33068 34418 40154 57869 68836 80308 115738 120463 140539 231476 240926 281078 292553 481852 562156 585106 843241 983773 1170212 1686482 1967546 2047871 3372964 3935092 4095742 8191484 14335097 20323829 28670194 40647658 57340388 81295316 142266803 284533606 345505093 569067212 691010186 995867621 1382020372 1991735242 2418535651 3983470484 4837071302 9674142604 16929749557 33859499114 67718998228