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11323101664 = 257233122287
BaseRepresentation
bin10101000101110100…
…01101000111100000
31002020010102011101201
422202322031013200
5141142203223124
65111325210544
7550411530130
oct124272150740
932203364351
1011323101664
114890660966
122240100a54
1310b5b53574
14795b78ac0
15464113144
hex2a2e8d1e0

11323101664 has 144 divisors (see below), whose sum is σ = 27481918464. Its totient is φ = 4490069760.

The previous prime is 11323101659. The next prime is 11323101667. The reversal of 11323101664 is 46610132311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323101667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4949929 + ... + 4952215.

It is an arithmetic number, because the mean of its divisors is an integer number (190846656).

Almost surely, 211323101664 is an apocalyptic number.

11323101664 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 11323101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740959232).

11323101664 is an abundant number, since it is smaller than the sum of its proper divisors (16158816800).

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

11323101664 is a wasteful number, since it uses less digits than its factorization.

11323101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 11323101664 its reverse (46610132311), we get a palindrome (57933233975).

The spelling of 11323101664 in words is "eleven billion, three hundred twenty-three million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 644 713 736 868 961 992 1288 1426 1736 1922 2287 2576 2852 3472 3844 4574 4991 5152 5704 6727 6944 7688 9148 9982 11408 13454 15376 16009 18296 19964 22103 22816 26908 30752 32018 36592 39928 44206 52601 53816 64036 70897 73184 79856 88412 105202 107632 128072 141794 154721 159712 176824 210404 215264 256144 283588 309442 353648 368207 420808 496279 512288 567176 618884 707296 736414 841616 992558 1134352 1237768 1472828 1630631 1683232 1985116 2197807 2268704 2475536 2945656 3261262 3970232 4395614 4951072 5891312 6522524 7940464 8791228 11414417 11782624 13045048 15384649 15880928 17582456 22828834 26090096 30769298 35164912 45657668 50549561 52180192 61538596 70329824 91315336 101099122 123077192 182630672 202198244 246154384 353846927 365261344 404396488 492308768 707693854 808792976 1415387708 1617585952 2830775416 5661550832 11323101664