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10744355999 = 1331932331
BaseRepresentation
bin10100000000110100…
…11101110010011111
31000201210101211121002
422000122131302133
5134001023342444
64534052500515
7530153343026
oct120032356237
930653354532
1010744355999
1146139aa763
1220ba31a73b
131022c8a000
1473cd658bd
1542d3e2d4e
hex28069dc9f

10744355999 has 64 divisors (see below), whose sum is σ = 13233561600. Its totient is φ = 8697443040.

The previous prime is 10744355933. The next prime is 10744356013. The reversal of 10744355999 is 99955344701.

10744355999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10744355999 - 212 = 10744351903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10744355399) 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 63 ways as a sum of consecutive naturals, for example, 346592114 + ... + 346592144.

It is an arithmetic number, because the mean of its divisors is an integer number (206774400).

Almost surely, 210744355999 is an apocalyptic number.

10744355999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10744355999 is a deficient number, since it is larger than the sum of its proper divisors (2489205601).

10744355999 is an frugal number, since it uses more digits than its factorization.

10744355999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 56.

The spelling of 10744355999 in words is "ten billion, seven hundred forty-four million, three hundred fifty-five thousand, nine hundred ninety-nine".

Divisors: 1 13 19 23 31 169 247 299 361 403 437 589 713 2197 3211 3887 4693 5239 5681 6859 7657 8303 9269 11191 13547 41743 50531 61009 68107 73853 89167 99541 107939 120497 145483 157757 176111 212629 257393 793117 960089 1159171 1294033 1403207 1566461 1891279 2050841 2289443 2764177 3346109 4890467 15069223 18241691 24586627 26660933 29762759 35934301 43499417 63576071 346592129 467145913 565492421 826488923 10744355999