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10055152240 = 245717955629
BaseRepresentation
bin10010101110101010…
…10111001001110000
3221221202112122202221
421113111113021300
5131043104332430
64341432450424
7504114245440
oct112725271160
927852478687
1010055152240
11429a964781
121b47549a14
13c4325aa33
146b55dc120
153dcb5457a
hex257557270

10055152240 has 40 divisors (see below), whose sum is σ = 26717977440. Its totient is φ = 3447480576.

The previous prime is 10055152199. The next prime is 10055152243. The reversal of 10055152240 is 4225155001.

10055152240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100551522402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055152243) 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 7 ways as a sum of consecutive naturals, for example, 8977255 + ... + 8978374.

It is an arithmetic number, because the mean of its divisors is an integer number (667949436).

Almost surely, 210055152240 is an apocalyptic number.

10055152240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055152240 is an abundant number, since it is smaller than the sum of its proper divisors (16662825200).

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

10055152240 is a wasteful number, since it uses less digits than its factorization.

10055152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17955649 (or 17955643 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 10055152240 in words is "ten billion, fifty-five million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 17955629 35911258 71822516 89778145 125689403 143645032 179556290 251378806 287290064 359112580 502757612 628447015 718225160 1005515224 1256894030 1436450320 2011030448 2513788060 5027576120 10055152240