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21349259694 = 2337331170633
BaseRepresentation
bin10011111000100000…
…111101100110101110
32001002212101202121000
4103320200331212232
5322210402302234
613450244421130
71354024466430
oct237040754656
961085352530
1021349259694
119066111884
1241799a77a6
13202309c059
14106758a650
1584e43b899
hex4f883d9ae

21349259694 has 64 divisors (see below), whose sum is σ = 54384468480. Its totient is φ = 6081324480.

The previous prime is 21349259677. The next prime is 21349259699. The reversal of 21349259694 is 49695294312.

21349259694 is a `hidden beast` number, since 2 + 1 + 3 + 49 + 2 + 596 + 9 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21349259694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21349259699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39802 + ... + 210434.

It is an arithmetic number, because the mean of its divisors is an integer number (849757320).

Almost surely, 221349259694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21349259694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27192234240).

21349259694 is an abundant number, since it is smaller than the sum of its proper divisors (33035208786).

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

21349259694 is a wasteful number, since it uses less digits than its factorization.

21349259694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170982 (or 170976 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 21349259694 in words is "twenty-one billion, three hundred forty-nine million, two hundred fifty-nine thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 331 378 662 993 1986 2317 2979 4634 5958 6951 8937 13902 17874 20853 41706 62559 125118 170633 341266 511899 1023798 1194431 1535697 2388862 3071394 3583293 4607091 7166586 9214182 10749879 21499758 32249637 56479523 64499274 112959046 169438569 338877138 395356661 508315707 790713322 1016631414 1186069983 1524947121 2372139966 3049894242 3558209949 7116419898 10674629847 21349259694