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68670181602 = 232112613491481
BaseRepresentation
bin111111111101000011…
…111101000011100010
320120020202001122222100
4333331003331003202
52111114031302402
651314024151230
74650465625041
oct777503750342
9216222048870
1068670181602
1127139588900
1211385608516
136624a9c269
143476172558
151bbd9d071c
hexffd0fd0e2

68670181602 has 144 divisors (see below), whose sum is σ = 166810807800. Its totient is φ = 20395584000.

The previous prime is 68670181589. The next prime is 68670181607. The reversal of 68670181602 is 20618107686.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46194475041 + 22475706561 = 214929^2 + 149919^2 .

It is not an unprimeable number, because it can be changed into a prime (68670181607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46366702 + ... + 46368182.

Almost surely, 268670181602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68670181602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83405403900).

68670181602 is an abundant number, since it is smaller than the sum of its proper divisors (98140626198).

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

68670181602 is a wasteful number, since it uses less digits than its factorization.

68670181602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 68670181602 in words is "sixty-eight billion, six hundred seventy million, one hundred eighty-one thousand, six hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 121 122 183 198 242 349 363 366 549 671 698 726 1047 1089 1098 1342 1481 2013 2094 2178 2962 3141 3839 4026 4443 6039 6282 7381 7678 8886 11517 12078 13329 14762 16291 21289 22143 23034 26658 32582 34551 42229 42578 44286 48873 63867 66429 69102 84458 90341 97746 126687 127734 132858 146619 179201 180682 191601 234179 253374 271023 293238 358402 380061 383202 468358 516869 537603 542046 702537 760122 813069 993751 1033738 1075206 1405074 1550607 1612809 1626138 1987502 2107611 2575969 2981253 3101214 3225618 4215222 4651821 5151938 5685559 5962506 7727907 8943759 9303642 10931261 11371118 15455814 17056677 17887518 21862522 23183721 31529009 32793783 34113354 46367442 51170031 62541149 63058018 65587566 94587027 98381349 102340062 125082298 187623447 189174054 196762698 283761081 346819099 375246894 562870341 567522162 693638198 1040457297 1125740682 2080914594 3121371891 3815010089 6242743782 7630020178 11445030267 22890060534 34335090801 68670181602