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10055600505 = 325297705441
BaseRepresentation
bin10010101110101110…
…00100100101111001
3221221210101102200100
421113113010211321
5131043213204010
64341450230013
7504121123356
oct112727044571
927853342610
1010055600505
1142a0140545
121b47725309
13c43386a92
146b56b762d
153dcbe22c0
hex2575c4979

10055600505 has 24 divisors (see below), whose sum is σ = 18030734280. Its totient is φ = 5178055680.

The previous prime is 10055600491. The next prime is 10055600507. The reversal of 10055600505 is 50500655001.

10055600505 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 600 + 50 + 5 = 666.

10055600505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 774397584 + 9281202921 = 27828^2 + 96339^2 .

It is not a de Polignac number, because 10055600505 - 25 = 10055600473 is a prime.

It is a super-2 number, since 2×100556005052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055600507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3851416 + ... + 3854025.

It is an arithmetic number, because the mean of its divisors is an integer number (751280595).

Almost surely, 210055600505 is an apocalyptic number.

10055600505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10055600505 is a deficient number, since it is larger than the sum of its proper divisors (7975133775).

10055600505 is a wasteful number, since it uses less digits than its factorization.

10055600505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705481 (or 7705478 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10055600505 in words is "ten billion, fifty-five million, six hundred thousand, five hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 7705441 23116323 38527205 69348969 115581615 223457789 346744845 670373367 1117288945 2011120101 3351866835 10055600505