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23050543101336 = 2333313491694387
BaseRepresentation
bin1010011110110110111110…
…11011101111010110011000
310000121121110222111100201000
411033123133123233112120
511010130003013220321
6121005135011425000
74566226642401402
oct517333733572630
9100547428440630
1023050543101336
117387753721943
1227034242b5160
13cb2870249a9a
1459991ba59b72
1529e8e699d826
hex14f6df6ef598

23050543101336 has 128 divisors (see below), whose sum is σ = 64364768006400. Its totient is φ = 7643356680960.

The previous prime is 23050543101317. The next prime is 23050543101337. The reversal of 23050543101336 is 63310134505032.

23050543101336 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 0 + 5 + 4 + 310 + 1 + 336 = 666.

It is a super-2 number, since 2×230505431013362 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23050543101336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23050543101337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32848335 + ... + 33542721.

It is an arithmetic number, because the mean of its divisors is an integer number (502849750050).

Almost surely, 223050543101336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23050543101336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32182384003200).

23050543101336 is an abundant number, since it is smaller than the sum of its proper divisors (41314224905064).

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

23050543101336 is a wasteful number, since it uses less digits than its factorization.

23050543101336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695206 (or 695196 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 23050543101336 its reverse (63310134505032), we get a palindrome (86360677606368).

The spelling of 23050543101336 in words is "twenty-three trillion, fifty billion, five hundred forty-three million, one hundred one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 313 491 626 939 982 1252 1473 1878 1964 2504 2817 2946 3756 3928 4419 5634 5892 7512 8451 8838 11268 11784 13257 16902 17676 22536 26514 33804 35352 53028 67608 106056 153683 307366 461049 614732 694387 922098 1229464 1383147 1388774 1844196 2083161 2766294 2777548 3688392 4149441 4166322 5532588 5555096 6249483 8298882 8332644 11065176 12498966 16597764 16665288 18748449 24997932 33195528 37496898 49995864 74993796 149987592 217343131 340944017 434686262 652029393 681888034 869372524 1022832051 1304058786 1363776068 1738745048 1956088179 2045664102 2608117572 2727552136 3068496153 3912176358 4091328204 5216235144 5868264537 6136992306 7824352716 8182656408 9205488459 11736529074 12273984612 15648705432 18410976918 23473058148 24547969224 36821953836 46946116296 73643907672 106715477321 213430954642 320146431963 426861909284 640292863926 853723818568 960439295889 1280585727852 1920878591778 2561171455704 2881317887667 3841757183556 5762635775334 7683514367112 11525271550668 23050543101336