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105546464413 = 13137223293907
BaseRepresentation
bin110001001001100001…
…1110011110010011101
3101002102201021221001121
41202103003303302131
53212124343330123
6120253135010541
710424353100455
oct1422303636235
9332381257047
10105546464413
1140842255995
1218557369a51
139c50941450
145173930d65
152b2b13675d
hex18930f3c9d

105546464413 has 32 divisors (see below), whose sum is σ = 115528283136. Its totient is φ = 95848247808.

The previous prime is 105546464407. The next prime is 105546464423. The reversal of 105546464413 is 314464645501.

It is a cyclic number.

It is not a de Polignac number, because 105546464413 - 25 = 105546464381 is a prime.

It is a super-2 number, since 2×1055464644132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105546464413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105546464423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116368306 + ... + 116369212.

It is an arithmetic number, because the mean of its divisors is an integer number (3610258848).

Almost surely, 2105546464413 is an apocalyptic number.

105546464413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105546464413 is a deficient number, since it is larger than the sum of its proper divisors (9981818723).

105546464413 is a wasteful number, since it uses less digits than its factorization.

105546464413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573.

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 105546464413 in words is "one hundred five billion, five hundred forty-six million, four hundred sixty-four thousand, four hundred thirteen".

Divisors: 1 13 137 223 293 907 1781 2899 3809 11791 30551 40141 65339 124259 202261 265751 397163 521833 849407 1615367 2629393 3454763 8951443 27709757 36407887 59262473 116368759 360226841 473302531 770412149 8118958801 105546464413