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455145634044 = 223229435963251
BaseRepresentation
bin1101001111110001100…
…10110011100011111100
31121111210212210211112100
412213320302303203330
524424114240242134
6545031354305100
744611635025203
oct6477062634374
91544725724470
10455145634044
11166031932472
1274263428190
1333bc646a52a
141805a06423a
15bc8cdb0999
hex69f8cb38fc

455145634044 has 36 divisors (see below), whose sum is σ = 1190179677960. Its totient is φ = 146483652000.

The previous prime is 455145634039. The next prime is 455145634093. The reversal of 455145634044 is 440436541554.

455145634044 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 4 + 5 + 634 + 0 + 4 + 4 = 666.

455145634044 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217980582 + ... + 217982669.

It is an arithmetic number, because the mean of its divisors is an integer number (33060546610).

Almost surely, 2455145634044 is an apocalyptic number.

It is an amenable number.

455145634044 is an abundant number, since it is smaller than the sum of its proper divisors (735034043916).

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

455145634044 is a wasteful number, since it uses less digits than its factorization.

455145634044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435963290 (or 435963285 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 455145634044 in words is "four hundred fifty-five billion, one hundred forty-five million, six hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 435963251 871926502 1307889753 1743853004 2615779506 3923669259 5231559012 7847338518 12642934279 15694677036 25285868558 37928802837 50571737116 75857605674 113786408511 151715211348 227572817022 455145634044