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45763049929 = 2327121312
BaseRepresentation
bin101010100111101100…
…001011100111001001
311101010022020210210011
4222213230023213021
51222210320044204
633005004551521
73210023335432
oct524754134711
9141108223704
1045763049929
1118454059823
128a51b525a1
13441402778c
142301b3a489
1512cc917304
hexaa7b0b9c9

45763049929 has 27 divisors (see below), whose sum is σ = 48895767277. Its totient is φ = 42827384600.

The previous prime is 45763049869. The next prime is 45763049933. The reversal of 45763049929 is 92994036754.

The square root of 45763049929 is 213923.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 45763049929 - 215 = 45763017161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45763047929) 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 26 ways as a sum of consecutive naturals, for example, 349336194 + ... + 349336324.

Almost surely, 245763049929 is an apocalyptic number.

45763049929 is the 213923-rd square number.

45763049929 is the 106962-nd centered octagonal number.

It is an amenable number.

45763049929 is a deficient number, since it is larger than the sum of its proper divisors (3132717348).

45763049929 is an frugal number, since it uses more digits than its factorization.

45763049929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 45763049929 in words is "forty-five billion, seven hundred sixty-three million, forty-nine thousand, nine hundred twenty-nine".

Divisors: 1 23 71 131 529 1633 3013 5041 9301 17161 37559 69299 115943 213923 394703 660371 1218431 2666689 4920229 9078169 15188533 28023913 86508601 349336259 644549999 1989697823 45763049929