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5468054235200 = 26523792365781
BaseRepresentation
bin100111110010010000101…
…1011100010100001000000
3201100202000002201211202122
41033210201123202201000
51204042033341011300
615343553415103412
71103024324055134
oct117444133424100
921322002654678
105468054235200
111818a97078047
127438b4371b68
133088349b191b
1414c925d833c4
15973839ccc85
hex4f9216e2840

5468054235200 has 84 divisors (see below), whose sum is σ = 13818475181892. Its totient is φ = 2128107571200.

The previous prime is 5468054235187. The next prime is 5468054235209. The reversal of 5468054235200 is 25324508645.

It can be written as a sum of positive squares in 6 ways, for example, as 29531735104 + 5438522500096 = 171848^2 + 2332064^2 .

It is not an unprimeable number, because it can be changed into a prime (5468054235209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46123691 + ... + 46242090.

Almost surely, 25468054235200 is an apocalyptic number.

5468054235200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5468054235200 is an abundant number, since it is smaller than the sum of its proper divisors (8350420946692).

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

5468054235200 is a wasteful number, since it uses less digits than its factorization.

5468054235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92365840 (or 92365825 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 5468054235200 in words is "five trillion, four hundred sixty-eight billion, fifty-four million, two hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 148 160 185 200 296 320 370 400 592 740 800 925 1184 1480 1600 1850 2368 2960 3700 5920 7400 11840 14800 29600 59200 92365781 184731562 369463124 461828905 738926248 923657810 1477852496 1847315620 2309144525 2955704992 3417533897 3694631240 4618289050 5911409984 6835067794 7389262480 9236578100 13670135588 14778524960 17087669485 18473156200 27340271176 29557049920 34175338970 36946312400 54680542352 68350677940 73892624800 85438347425 109361084704 136701355880 147785249600 170876694850 218722169408 273402711760 341753389700 546805423520 683506779400 1093610847040 1367013558800 2734027117600 5468054235200