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68924925056 = 271323278301
BaseRepresentation
bin100000000110000111…
…1101110010010000000
320120220111101222022002
41000030033232102000
52112124240100211
651355204203132
74660011124241
oct1001417562200
9216814358262
1068924925056
112725a361389
12114369994a8
1366657b2a30
14349bd24cc8
151bd605003b
hex100c3ee480

68924925056 has 96 divisors (see below), whose sum is σ = 154584591420. Its totient is φ = 30428006400.

The previous prime is 68924925031. The next prime is 68924925059. The reversal of 68924925056 is 65052942986.

It can be written as a sum of positive squares in 2 ways, for example, as 56777358400 + 12147566656 = 238280^2 + 110216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 68924924992 and 68924925010.

It is not an unprimeable number, because it can be changed into a prime (68924925059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841106 + ... + 919406.

Almost surely, 268924925056 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 68924925056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77292295710).

68924925056 is an abundant number, since it is smaller than the sum of its proper divisors (85659666364).

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

68924925056 is a wasteful number, since it uses less digits than its factorization.

68924925056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78374 (or 78339 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 68924925056 in words is "sixty-eight billion, nine hundred twenty-four million, nine hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 529 598 736 832 1058 1196 1472 1664 2116 2392 2944 4232 4784 6877 8464 9568 13754 16928 19136 27508 33856 38272 55016 67712 78301 110032 156602 220064 313204 440128 626408 880256 1017913 1252816 1800923 2035826 2505632 3601846 4071652 5011264 7203692 8143304 10022528 14407384 16286608 23411999 28814768 32573216 41421229 46823998 57629536 65146432 82842458 93647996 115259072 130292864 165684916 187295992 230518144 331369832 374591984 538475977 662739664 749183968 1076951954 1325479328 1498367936 2153903908 2650958656 2996735872 4307807816 5301917312 8615615632 17231231264 34462462528 68924925056