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81026761104 = 243479072
BaseRepresentation
bin100101101110110010…
…0100100000110010000
321202010220010221110000
41023131210210012100
52311420322323404
6101120112410000
75565630051132
oct1133544440620
9252126127400
1081026761104
11313aa548983
1213853846900
137843a81973
143cc9291052
1521936d9339
hex12dd924190

81026761104 has 75 divisors (see below), whose sum is σ = 234544617307. Its totient is φ = 27005504544.

The previous prime is 81026761021. The next prime is 81026761177. The reversal of 81026761104 is 40116762018.

It is a happy number.

The square root of 81026761104 is 284652.

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

81026761104 is a `hidden beast` number, since 8 + 10 + 26 + 7 + 611 + 0 + 4 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10243519 + ... + 10251425.

Almost surely, 281026761104 is an apocalyptic number.

81026761104 is the 284652-nd square number.

It is an amenable number.

81026761104 is an abundant number, since it is smaller than the sum of its proper divisors (153517856203).

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

81026761104 is an frugal number, since it uses more digits than its factorization.

81026761104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 81026761104 by its sum of digits (36), we get a square (2916963399744 = 17079122).

81026761104 divided by its sum of digits (36) gives a square (2250743364 = 474422).

The spelling of 81026761104 in words is "eighty-one billion, twenty-six million, seven hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7907 15814 23721 31628 47442 63256 71163 94884 126512 142326 189768 213489 284652 379536 426978 569304 640467 853956 1138608 1280934 1707912 2561868 3415824 5123736 10247472 62520649 125041298 187561947 250082596 375123894 500165192 562685841 750247788 1000330384 1125371682 1500495576 1688057523 2250743364 3000991152 3376115046 4501486728 5064172569 6752230092 9002973456 10128345138 13504460184 20256690276 27008920368 40513380552 81026761104