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5733007696900 = 2252112217672
BaseRepresentation
bin101001101101101000111…
…1000110010010000000100
3202022001220011102021000201
41103123101320302100010
51222412144432300100
620105412443220244
71131124163245141
oct123332170622004
922261804367021
105733007696900
11191039a427400
12787118817684
1332780aa73cb3
1415b69c7433c8
159e1de4b736a
hex536d1e32404

5733007696900 has 81 divisors (see below), whose sum is σ = 13675036109077. Its totient is φ = 2084634296800.

The previous prime is 5733007696883. The next prime is 5733007696919. The reversal of 5733007696900 is 96967003375.

The square root of 5733007696900 is 2394370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2063882770884 + 3669124926016 = 1436622^2 + 1915496^2 .

It is a super-2 number, since 2×57330076969002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263369817 + ... + 263391583.

Almost surely, 25733007696900 is an apocalyptic number.

5733007696900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5733007696900 is the 2394370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5733007696900

5733007696900 is an abundant number, since it is smaller than the sum of its proper divisors (7942028412177).

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

5733007696900 is an equidigital number, since it uses as much as digits as its factorization.

5733007696900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43570 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 55.

The spelling of 5733007696900 in words is "five trillion, seven hundred thirty-three billion, seven million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 21767 43534 87068 108835 217670 239437 435340 478874 544175 957748 1088350 1197185 2176700 2394370 2633807 4788740 5267614 5985925 10535228 11971850 13169035 23943700 26338070 52676140 65845175 131690350 263380700 473802289 947604578 1895209156 2369011445 4738022890 5211825179 9476045780 10423650358 11845057225 20847300716 23690114450 26059125895 47380228900 52118251790 57330076969 104236503580 114660153938 130295629475 229320307876 260591258950 286650384845 521182517900 573300769690 1146601539380 1433251924225 2866503848450 5733007696900