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89694049698 = 232112101407741
BaseRepresentation
bin101001110001000101…
…1101001010110100010
322120111221011211012200
41103202023221112202
52432143134042243
6105112130434030
76323462562111
oct1234213512642
9276457154180
1089694049698
1135047a53100
1215472432916
1385c561ccb6
1444ac419c78
1524ee594ad3
hex14e22e95a2

89694049698 has 72 divisors (see below), whose sum is σ = 215725690908. Its totient is φ = 26910840000.

The previous prime is 89694049691. The next prime is 89694049769.

It is a happy number.

89694049698 is a `hidden beast` number, since 8 + 9 + 6 + 9 + 40 + 496 + 98 = 666.

89694049698 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 68119434009 + 21574615689 = 260997^2 + 146883^2 .

It is not an unprimeable number, because it can be changed into a prime (89694049691) 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 35 ways as a sum of consecutive naturals, for example, 16108 + ... + 423848.

Almost surely, 289694049698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89694049698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107862845454).

89694049698 is an abundant number, since it is smaller than the sum of its proper divisors (126031641210).

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

89694049698 is a wasteful number, since it uses less digits than its factorization.

89694049698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407872 (or 407858 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 89694049698 in words is "eighty-nine billion, six hundred ninety-four million, forty-nine thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 121 198 202 242 303 363 606 726 909 1089 1111 1818 2178 2222 3333 6666 9999 12221 19998 24442 36663 73326 109989 219978 407741 815482 1223223 2446446 3669669 4485151 7339338 8970302 13455453 26910906 40366359 41181841 49336661 80732718 82363682 98673322 123545523 148009983 247091046 296019966 370636569 444029949 453000251 741273138 888059898 906000502 1359000753 2718001506 4077002259 4983002761 8154004518 9966005522 14949008283 29898016566 44847024849 89694049698