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16627220082 = 2361123072
BaseRepresentation
bin11110111110000111…
…10011111001110010
31120220210001022000000
433133003303321302
5233023032020312
611345523010430
71126016016204
oct173703637162
946823038000
1016627220082
1170626a5600
123280509a16
13174c9c2685
14b3a3a2774
15674addadc
hex3df0f3e72

16627220082 has 126 divisors (see below), whose sum is σ = 41236969599. Its totient is φ = 5022139320.

The previous prime is 16627220081. The next prime is 16627220089. The reversal of 16627220082 is 28002272661.

16627220082 is a `hidden beast` number, since 1 + 6 + 627 + 2 + 20 + 0 + 8 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8313610041 + 8313610041 = 91179^2 + 91179^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=91179.

It is not an unprimeable number, because it can be changed into a prime (16627220081) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 54160173 + ... + 54160479.

Almost surely, 216627220082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16627220082

16627220082 is an abundant number, since it is smaller than the sum of its proper divisors (24609749517).

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

16627220082 is an frugal number, since it uses more digits than its factorization.

16627220082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 323 counting only the distinct ones).

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

The spelling of 16627220082 in words is "sixteen billion, six hundred twenty-seven million, two hundred twenty thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 307 363 486 594 614 726 729 891 921 1089 1458 1782 1842 2178 2673 2763 3267 3377 5346 5526 6534 6754 8019 8289 9801 10131 16038 16578 19602 20262 24867 29403 30393 37147 49734 58806 60786 74294 74601 88209 91179 94249 111441 149202 176418 182358 188498 222882 223803 273537 282747 334323 447606 547074 565494 668646 820611 848241 1002969 1036739 1641222 1696482 2005938 2073478 2461833 2544723 3008907 3110217 4923666 5089446 6017814 6220434 7634169 9026721 9330651 11404129 15268338 18053442 18661302 22808258 22902507 27080163 27991953 34212387 45805014 54160326 55983906 68424774 68707521 83975859 102637161 137415042 167951718 205274322 251927577 307911483 503855154 615822966 755782731 923734449 1511565462 1847468898 2771203347 5542406694 8313610041 16627220082