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105941743884 = 2234536169447
BaseRepresentation
bin110001010101010011…
…1101011100100001100
3101010110021002012120000
41202222213223210030
53213432041301014
6120400255124300
710440222651654
oct1425247534414
9333407065500
10105941743884
1140a25397239
1218647813690
139cb47bc222
1451b0227364
152b50bb6509
hex18aa9eb90c

105941743884 has 60 divisors (see below), whose sum is σ = 282178212624. Its totient is φ = 34647608736.

The previous prime is 105941743877. The next prime is 105941743889. The reversal of 105941743884 is 488347149501.

105941743884 is a `hidden beast` number, since 1 + 0 + 5 + 94 + 174 + 388 + 4 = 666.

It is a super-2 number, since 2×1059417438842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 105941743884.

It is not an unprimeable number, because it can be changed into a prime (105941743889) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3067552 + ... + 3101895.

Almost surely, 2105941743884 is an apocalyptic number.

It is an amenable number.

105941743884 is an abundant number, since it is smaller than the sum of its proper divisors (176236468740).

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

105941743884 is a wasteful number, since it uses less digits than its factorization.

105941743884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169516 (or 6169505 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 105941743884 in words is "one hundred five billion, nine hundred forty-one million, seven hundred forty-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 17172 6169447 12338894 18508341 24677788 37016682 55525023 74033364 111050046 166575069 222100092 326980691 333150138 499725207 653961382 666300276 980942073 999450414 1307922764 1961884146 1998900828 2942826219 3923768292 5885652438 8828478657 11771304876 17656957314 26485435971 35313914628 52970871942 105941743884