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22754732523068 = 227131512753150379
BaseRepresentation
bin1010010110001111111111…
…01111111011111000111100
32222120022221102201000011202
411023013333233323320330
510440303143011214233
6120221214012235032
74535655325101410
oct513077757737074
988508842630152
1022754732523068
117283256327157
122676029a6ba78
13c909ba362060
14589499098d40
15296d81ecebe8
hex14b1ffbfbe3c

22754732523068 has 96 divisors (see below), whose sum is σ = 49353012495360. Its totient is φ = 8938949529600.

The previous prime is 22754732522993. The next prime is 22754732523073. The reversal of 22754732523068 is 86032523745722.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151240703 + ... + 151391081.

It is an arithmetic number, because the mean of its divisors is an integer number (514093880160).

Almost surely, 222754732523068 is an apocalyptic number.

22754732523068 is a gapful number since it is divisible by the number (28) 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 22754732523068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676506247680).

22754732523068 is an abundant number, since it is smaller than the sum of its proper divisors (26598279972292).

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

22754732523068 is a wasteful number, since it uses less digits than its factorization.

22754732523068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153307 (or 153305 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 56.

The spelling of 22754732523068 in words is "twenty-two trillion, seven hundred fifty-four billion, seven hundred thirty-two million, five hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 151 182 302 364 604 1057 1963 2114 2753 3926 4228 5506 7852 11012 13741 19271 27482 35789 38542 54964 71578 77084 143156 150379 250523 300758 415703 501046 601516 831406 1002092 1052653 1662812 1954927 2105306 2909921 3909854 4210612 5404139 5819842 7819708 10808278 11639684 13684489 21616556 22707229 27368978 37828973 45414458 54737956 75657946 90828916 151315892 158950603 295193977 317901206 413993387 590387954 635802412 827986774 1180775908 1655973548 2066357839 2897953709 4132715678 5381914031 5795907418 8265431356 10763828062 11591814836 21527656124 37673398217 62513001437 75346796434 125026002874 150693592868 250052005748 437591010059 812669018681 875182020118 1625338037362 1750364040236 3250676074724 5688683130767 11377366261534 22754732523068