Search a number
-
+
10053916124 = 22723101154571
BaseRepresentation
bin10010101110100001…
…01001010111011100
3221221200012212010212
421113100221113130
5131042300303444
64341350151552
7504100606550
oct112720512734
927850185125
1010053916124
11429a19aa9a
121b470525b8
13c42c171c5
146b5399860
153dc9ad19e
hex2574295dc

10053916124 has 48 divisors (see below), whose sum is σ = 21189966336. Its totient is φ = 4080648000.

The previous prime is 10053916109. The next prime is 10053916133. The reversal of 10053916124 is 42161935001.

10053916124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12242 + ... + 142329.

It is an arithmetic number, because the mean of its divisors is an integer number (441457632).

Almost surely, 210053916124 is an apocalyptic number.

10053916124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10053916124 is an abundant number, since it is smaller than the sum of its proper divisors (11136050212).

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

10053916124 is a wasteful number, since it uses less digits than its factorization.

10053916124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154706 (or 154704 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 10053916124 in words is "ten billion, fifty-three million, nine hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 101 161 202 322 404 644 707 1414 2323 2828 4646 9292 16261 32522 65044 154571 309142 618284 1081997 2163994 3555133 4327988 7110266 14220532 15611671 24885931 31223342 49771862 62446684 99543724 109281697 218563394 359068433 437126788 718136866 1436273732 2513479031 5026958062 10053916124