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105538158828 = 22322931615523
BaseRepresentation
bin110001001001010010…
…0001000000011101100
3101002102010122221221100
41202102210020003230
53212120232040303
6120252241003100
710424222356104
oct1422244100354
9332363587840
10105538158828
11408385a2873
1218554623490
139c4bcc3bbb
1451727ac204
152b2a5458a3
hex18929080ec

105538158828 has 18 divisors (see below), whose sum is σ = 266777012684. Its totient is φ = 35179386264.

The previous prime is 105538158799. The next prime is 105538158829. The reversal of 105538158828 is 828851835501.

105538158828 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 38 + 1 + 588 + 28 = 666.

105538158828 is digitally balanced in base 3, 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 (18).

It is a super-2 number, since 2×1055381588282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105538158829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1465807726 + ... + 1465807797.

Almost surely, 2105538158828 is an apocalyptic number.

105538158828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105538158828 is an abundant number, since it is smaller than the sum of its proper divisors (161238853856).

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

105538158828 is a wasteful number, since it uses less digits than its factorization.

105538158828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931615533 (or 2931615528 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 105538158828 in words is "one hundred five billion, five hundred thirty-eight million, one hundred fifty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2931615523 5863231046 8794846569 11726462092 17589693138 26384539707 35179386276 52769079414 105538158828