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105485501836 = 221113461400033
BaseRepresentation
bin110001000111101101…
…1010000010110001100
3101002021110120201010101
41202033123100112030
53212013242024321
6120243120220444
710423012654141
oct1421733202614
9332243521111
10105485501836
11408108a78a0
121853aa6a724
139c41118310
1451697c23c8
152b25ae3791
hex188f6d058c

105485501836 has 48 divisors (see below), whose sum is σ = 217343272608. Its totient is φ = 44163532800.

The previous prime is 105485501831. The next prime is 105485501837. The reversal of 105485501836 is 638105584501.

It is a super-2 number, since 2×1054855018362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105485501831) 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 15 ways as a sum of consecutive naturals, for example, 63676 + ... + 463708.

It is an arithmetic number, because the mean of its divisors is an integer number (4527984846).

Almost surely, 2105485501836 is an apocalyptic number.

It is an amenable number.

105485501836 is an abundant number, since it is smaller than the sum of its proper divisors (111857770772).

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

105485501836 is a wasteful number, since it uses less digits than its factorization.

105485501836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400522 (or 400520 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 105485501836 in words is "one hundred five billion, four hundred eighty-five million, five hundred one thousand, eight hundred thirty-six".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 461 572 922 1844 5071 5993 10142 11986 20284 23972 65923 131846 263692 400033 800066 1600132 4400363 5200429 8800726 10400858 17601452 20801716 57204719 114409438 184415213 228818876 368830426 737660852 2028567343 2397397769 4057134686 4794795538 8114269372 9589591076 26371375459 52742750918 105485501836