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11630643453 = 3211134724091
BaseRepresentation
bin10101101010011110…
…11000100011111101
31010000120002220102100
422311033120203331
5142304421042303
65202033015313
7561134560332
oct126517304375
933016086370
1011630643453
114a29216630
1223070b4539
131134792060
147c4952989
154811118a3
hex2b53d88fd

11630643453 has 72 divisors (see below), whose sum is σ = 20170646496. Its totient is φ = 6366657600.

The previous prime is 11630643421. The next prime is 11630643461. The reversal of 11630643453 is 35434603611.

11630643453 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 0 + 643 + 4 + 5 + 3 = 666.

It is not a de Polignac number, because 11630643453 - 25 = 11630643421 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630643253) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2840938 + ... + 2845028.

It is an arithmetic number, because the mean of its divisors is an integer number (280147868).

Almost surely, 211630643453 is an apocalyptic number.

11630643453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11630643453 is a deficient number, since it is larger than the sum of its proper divisors (8540003043).

11630643453 is a wasteful number, since it uses less digits than its factorization.

11630643453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 11630643453 in words is "eleven billion, six hundred thirty million, six hundred forty-three thousand, four hundred fifty-three".

Divisors: 1 3 9 11 13 33 39 47 99 117 141 143 423 429 517 611 1287 1551 1833 2209 4091 4653 5499 6627 6721 12273 19881 20163 24299 28717 36819 45001 53183 60489 72897 86151 135003 159549 192277 218691 258453 315887 405009 478647 576831 585013 947661 1730493 1755039 2115047 2499601 2842983 5265117 6345141 7498803 9037019 19035423 22496409 27111057 27495611 81333171 82486833 99407209 117481247 247460499 298221627 352443741 894664881 1057331223 1292293717 3876881151 11630643453