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93487343049 = 345326412
BaseRepresentation
bin101011100010001000…
…1111010010111001001
322221022021221002110000
41113010101322113021
53012430224434144
6110540354113213
76516463206312
oct1270421722711
9287267832400
1093487343049
1136714193591
121615087b809
138a7b479889
14474c123609
1526725d8769
hex15c447a5c9

93487343049 has 45 divisors (see below), whose sum is σ = 142561032229. Its totient is φ = 61053557760.

The previous prime is 93487343029. The next prime is 93487343083. The reversal of 93487343049 is 94034378439.

The square root of 93487343049 is 305757.

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

93487343049 is a `hidden beast` number, since 93 + 4 + 87 + 3 + 430 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38512100025 + 54975243024 = 196245^2 + 234468^2 .

It is not a de Polignac number, because 93487343049 - 25 = 93487343017 is a prime.

It is a super-2 number, since 2×934873430492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93487342986 and 93487343004.

It is not an unprimeable number, because it can be changed into a prime (93487343029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 145845769 + ... + 145846409.

Almost surely, 293487343049 is an apocalyptic number.

93487343049 is the 305757-th square number.

93487343049 is the 152879-th centered octagonal number.

It is an amenable number.

93487343049 is a deficient number, since it is larger than the sum of its proper divisors (49073689180).

93487343049 is an frugal number, since it uses more digits than its factorization.

93487343049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 93487343049 in words is "ninety-three billion, four hundred eighty-seven million, three hundred forty-three thousand, forty-nine".

Divisors: 1 3 9 27 53 81 159 477 641 1431 1923 2809 4293 5769 8427 17307 25281 33973 51921 75843 101919 227529 305757 410881 917271 1232643 1800569 2751813 3697929 5401707 11093787 16205121 21776693 33281361 48615363 65330079 145846089 195990237 587970711 1154164729 1763912133 3462494187 10387482561 31162447683 93487343049