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105049463424 = 273273566311
BaseRepresentation
bin110000111010101101…
…1111001101010000000
3101001011002002122212120
41201311123321222000
53210120130312144
6120131542324240
710406136464133
oct1416533715200
9331132078776
10105049463424
1140607757774
1218438a29680
139ba1999419
14512791a21a
152aec6b1e19
hex18756f9a80

105049463424 has 32 divisors (see below), whose sum is σ = 279037638240. Its totient is φ = 35016487680.

The previous prime is 105049463399. The next prime is 105049463429. The reversal of 105049463424 is 424364940501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1050494634242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105049463429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136782772 + ... + 136783539.

It is an arithmetic number, because the mean of its divisors is an integer number (8719926195).

Almost surely, 2105049463424 is an apocalyptic number.

It is an amenable number.

105049463424 is an abundant number, since it is smaller than the sum of its proper divisors (173988174816).

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

105049463424 is an equidigital number, since it uses as much as digits as its factorization.

105049463424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273566328 (or 273566316 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 105049463424 in words is "one hundred five billion, forty-nine million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 273566311 547132622 820698933 1094265244 1641397866 2188530488 3282795732 4377060976 6565591464 8754121952 13131182928 17508243904 26262365856 35016487808 52524731712 105049463424