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89672698116 = 223229217212
BaseRepresentation
bin101001110000011101…
…0001100100100000100
322120110110000001100100
41103200322030210010
52432122202314431
6105110045044100
76323113233441
oct1234072144404
9276413001310
1089672698116
113503699a371
1215467256630
1385c1085621
1444a965c9c8
1524ec7784e6
hex14e0e8c904

89672698116 has 81 divisors (see below), whose sum is σ = 234894966943. Its totient is φ = 28843409280.

The previous prime is 89672698097. The next prime is 89672698127. The reversal of 89672698116 is 61189627698.

The square root of 89672698116 is 299454.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6521208516 + 83151489600 = 80754^2 + 288360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52104136 + ... + 52105856.

Almost surely, 289672698116 is an apocalyptic number.

89672698116 is the 299454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89672698116

89672698116 is an abundant number, since it is smaller than the sum of its proper divisors (145222268827).

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

89672698116 is a wasteful number, since it uses less digits than its factorization.

89672698116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 1755 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 89672698116 in words is "eighty-nine billion, six hundred seventy-two million, six hundred ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 1721 2523 3364 3442 5046 5163 6884 7569 10092 10326 15138 15489 20652 30276 30978 49909 61956 99818 149727 199636 299454 449181 598908 898362 1447361 1796724 2894722 2961841 4342083 5789444 5923682 8684166 8885523 11847364 13026249 17368332 17771046 26052498 26656569 35542092 52104996 53313138 85893389 106626276 171786778 257680167 343573556 515360334 773040501 1030720668 1546081002 2490908281 3092162004 4981816562 7472724843 9963633124 14945449686 22418174529 29890899372 44836349058 89672698116