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11160052344 = 2334719129491
BaseRepresentation
bin10100110010011000…
…01110001001111000
31001210202121101210000
422121030032021320
5140323433133334
65043222353000
7543361610520
oct123114161170
931722541700
1011160052344
114807616561
1221b558b760
13108b135b8c
1477c254680
15454b57299
hex29930e278

11160052344 has 160 divisors (see below), whose sum is σ = 37604476800. Its totient is φ = 3020742720.

The previous prime is 11160052331. The next prime is 11160052349. The reversal of 11160052344 is 44325006111.

It is a happy number.

11160052344 is a `hidden beast` number, since 1 + 1 + 1 + 600 + 52 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11160052349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21439 + ... + 150929.

It is an arithmetic number, because the mean of its divisors is an integer number (235027980).

Almost surely, 211160052344 is an apocalyptic number.

11160052344 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 11160052344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802238400).

11160052344 is an abundant number, since it is smaller than the sum of its proper divisors (26444424456).

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

11160052344 is a wasteful number, since it uses less digits than its factorization.

11160052344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129535 (or 129522 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11160052344 its reverse (44325006111), we get a palindrome (55485058455).

The spelling of 11160052344 in words is "eleven billion, one hundred sixty million, fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 14364 21546 28728 43092 86184 129491 258982 388473 517964 776946 906437 1035928 1165419 1553892 1812874 2330838 2460329 2719311 3107784 3496257 3625748 4661676 4920658 5438622 6992514 7251496 7380987 8157933 9323352 9841316 10488771 10877244 13985028 14761974 16315866 17222303 19682632 20977542 21754488 22142961 24473799 27970056 29523948 32631732 34444606 41955084 44285922 48947598 51666909 59047896 65263464 66428883 68889212 73421397 83910168 88571844 97895196 103333818 132857766 137778424 146842794 155000727 177143688 195790392 199286649 206667636 265715532 293685588 310001454 398573298 413335272 465002181 531431064 587371176 620002908 797146596 930004362 1240005816 1395006543 1594293192 1860008724 2790013086 3720017448 5580026172 11160052344