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68947206084 = 223210724092
BaseRepresentation
bin100000000110110010…
…0101101111111000100
320120222001022222010100
41000031210231333010
52112200441043314
651401321524100
74660401403431
oct1001544557704
9216861288110
1068947206084
112727099a459
1211442343630
13666a2b4483
1434a0c84b88
151bd7ea1c09
hex100d92dfc4

68947206084 has 81 divisors (see below), whose sum is σ = 176358444717. Its totient is φ = 22711946688.

The previous prime is 68947206079. The next prime is 68947206121. The reversal of 68947206084 is 48060274986.

The square root of 68947206084 is 262578.

It is a perfect power (a square), and thus also a powerful number.

68947206084 is a `hidden beast` number, since 6 + 8 + 9 + 4 + 7 + 20 + 608 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63012044484 + 5935161600 = 251022^2 + 77040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68947206084.

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 26 ways as a sum of consecutive naturals, for example, 168574872 + ... + 168575280.

Almost surely, 268947206084 is an apocalyptic number.

68947206084 is the 262578-th square number.

It is an amenable number.

68947206084 is an abundant number, since it is smaller than the sum of its proper divisors (107411238633).

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

68947206084 is a wasteful number, since it uses less digits than its factorization.

68947206084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 68947206084 in words is "sixty-eight billion, nine hundred forty-seven million, two hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 409 428 642 818 963 1227 1284 1636 1926 2454 3681 3852 4908 7362 11449 14724 22898 34347 43763 45796 68694 87526 103041 131289 137388 167281 175052 206082 262578 334562 393867 412164 501843 525156 669124 787734 1003686 1505529 1575468 2007372 3011058 4682641 6022116 9365282 14047923 17899067 18730564 28095846 35798134 42143769 53697201 56191692 71596268 84287538 107394402 161091603 168575076 214788804 322183206 644366412 1915200169 3830400338 5745600507 7660800676 11491201014 17236801521 22982402028 34473603042 68947206084