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89960404356 = 22341928772
BaseRepresentation
bin101001111001000001…
…1101101010110000100
322121012111101001010000
41103302003231112010
52433214330414411
6105154403401300
76333205551234
oct1236203552604
9277174331100
1089960404356
1135174337319
1215527683230
13863886a7c4
1444d5951cc4
152517b59956
hex14f20ed584

89960404356 has 135 divisors (see below), whose sum is σ = 248486648949. Its totient is φ = 28376155872.

The previous prime is 89960404351. The next prime is 89960404357. The reversal of 89960404356 is 65340406998.

The square root of 89960404356 is 299934.

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

89960404356 is a `hidden beast` number, since 89 + 96 + 0 + 40 + 435 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75795596100 + 14164808256 = 275310^2 + 119016^2 .

It is a super-3 number, since 3×899604043563 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89960404351) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 102576990 + ... + 102577866.

Almost surely, 289960404356 is an apocalyptic number.

89960404356 is the 299934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89960404356

89960404356 is an abundant number, since it is smaller than the sum of its proper divisors (158526244593).

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

89960404356 is an equidigital number, since it uses as much as digits as its factorization.

89960404356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 89960404356 in words is "eighty-nine billion, nine hundred sixty million, four hundred four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 877 1026 1083 1444 1539 1754 2052 2166 2631 3078 3249 3508 4332 5262 6156 6498 7893 9747 10524 12996 15786 16663 19494 23679 29241 31572 33326 38988 47358 49989 58482 66652 71037 94716 99978 116964 142074 149967 199956 284148 299934 316597 449901 599868 633194 769129 899802 949791 1266388 1349703 1538258 1799604 1899582 2307387 2699406 2849373 3076516 3799164 4614774 5398812 5698746 6922161 8548119 9229548 11397492 13844322 14613451 17096238 20766483 25644357 27688644 29226902 34192476 41532966 43840353 51288714 58453804 62299449 83065932 87680706 102577428 124598898 131521059 175361412 249197796 263042118 277655569 394563177 526084236 555311138 789126354 832966707 1110622276 1183689531 1578252708 1665933414 2367379062 2498900121 3331866828 4734758124 4997800242 7496700363 9995600484 14993400726 22490101089 29986801452 44980202178 89960404356