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45252497277 = 32131947433117
BaseRepresentation
bin101010001001010000…
…100100111101111101
311022210201120001012200
4222021100210331331
51220134114403102
632442210022113
73161253610641
oct521120447575
9138721501180
1045252497277
1118211944a89
12892ab77939
134362319410
142293dd8c21
15129cbb751c
hexa89424f7d

45252497277 has 48 divisors (see below), whose sum is σ = 75674376960. Its totient is φ = 25820643456.

The previous prime is 45252497267. The next prime is 45252497281. The reversal of 45252497277 is 77279425254.

45252497277 is a `hidden beast` number, since 4 + 5 + 2 + 524 + 97 + 27 + 7 = 666.

45252497277 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 45252497277 - 28 = 45252497021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45252497207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112078 + ... + 321039.

It is an arithmetic number, because the mean of its divisors is an integer number (1576549520).

Almost surely, 245252497277 is an apocalyptic number.

45252497277 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

45252497277 is a deficient number, since it is larger than the sum of its proper divisors (30421879683).

45252497277 is a wasteful number, since it uses less digits than its factorization.

45252497277 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433202 (or 433199 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 45252497277 in words is "forty-five billion, two hundred fifty-two million, four hundred ninety-seven thousand, two hundred seventy-seven".

Divisors: 1 3 9 13 19 39 47 57 117 141 171 247 423 611 741 893 1833 2223 2679 5499 8037 11609 34827 104481 433117 1299351 3898053 5630521 8229223 16891563 20356499 24687669 50674689 61069497 74063007 106979899 183208491 264634487 320939697 386773481 793903461 962819091 1160320443 2381710383 3480961329 5028055253 15084165759 45252497277