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105273916980 = 22352261377591
BaseRepresentation
bin110001000001011010…
…0000111111000110100
3101001201201110002021020
41202002310013320310
53211100110320410
6120210121221140
710414533346521
oct1420264077064
9331651402236
10105273916980
1140712421a81
12184a00317b0
139c09335c8b
145149666148
152b1224ba70
hex1882d07e34

105273916980 has 48 divisors (see below), whose sum is σ = 294783801984. Its totient is φ = 28071441280.

The previous prime is 105273916903. The next prime is 105273916991. The reversal of 105273916980 is 89619372501.

It is a super-2 number, since 2×1052739169802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317985 + ... + 1395575.

It is an arithmetic number, because the mean of its divisors is an integer number (6141329208).

Almost surely, 2105273916980 is an apocalyptic number.

105273916980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105273916980 is an abundant number, since it is smaller than the sum of its proper divisors (189509885004).

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

105273916980 is a wasteful number, since it uses less digits than its factorization.

105273916980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100216 (or 100214 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 105273916980 in words is "one hundred five billion, two hundred seventy-three million, nine hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 22613 45226 67839 77591 90452 113065 135678 155182 226130 232773 271356 310364 339195 387955 452260 465546 678390 775910 931092 1163865 1356780 1551820 2327730 4655460 1754565283 3509130566 5263695849 7018261132 8772826415 10527391698 17545652830 21054783396 26318479245 35091305660 52636958490 105273916980