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11304357064 = 23711132948677
BaseRepresentation
bin10101000011100101…
…01100110011001000
31002011211010211122021
422201302230303020
5141122403411224
65105415334224
7550063310140
oct124162546310
932154124567
1011304357064
114881018860
122235981374
1310b1cbc6a0
14793499920
1546265e1e4
hex2a1caccc8

11304357064 has 128 divisors (see below), whose sum is σ = 29440454400. Its totient is φ = 3925232640.

The previous prime is 11304357041. The next prime is 11304357067. The reversal of 11304357064 is 46075340311.

It is a super-3 number, since 3×113043570643 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11304357067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207894 + ... + 256570.

It is an arithmetic number, because the mean of its divisors is an integer number (230003550).

Almost surely, 211304357064 is an apocalyptic number.

11304357064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304357064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720227200).

11304357064 is an abundant number, since it is smaller than the sum of its proper divisors (18136097336).

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

11304357064 is a wasteful number, since it uses less digits than its factorization.

11304357064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48743 (or 48739 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 11304357064 its reverse (46075340311), we get a palindrome (57379697375).

The spelling of 11304357064 in words is "eleven billion, three hundred four million, three hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 29 44 52 56 58 77 88 91 104 116 143 154 182 203 232 286 308 319 364 377 406 572 616 638 728 754 812 1001 1144 1276 1508 1624 2002 2233 2552 2639 3016 4004 4147 4466 5278 8008 8294 8932 10556 16588 17864 21112 29029 33176 48677 58058 97354 116116 194708 232232 340739 389416 535447 632801 681478 1070894 1265602 1362956 1411633 2141788 2531204 2725912 2823266 3748129 4283576 4429607 5062408 5646532 6960811 7496258 8859214 9881431 11293064 13921622 14992516 15527963 17718428 18351229 19762862 27843244 29985032 31055926 35436856 36702458 39525724 48725677 55686488 62111852 73404916 79051448 97451354 108695741 124223704 128458603 146809832 194902708 201863519 217391482 256917206 389805416 403727038 434782964 513834412 807454076 869565928 1027668824 1413044633 1614908152 2826089266 5652178532 11304357064