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11464055231265 = 345713311058343
BaseRepresentation
bin1010011011010010111011…
…1100001001001100100001
31111120221201201102221120000
42212310232330021030201
53000311341114400030
640214303025410213
72262151655441610
oct246645674111441
944527651387500
1011464055231265
11371a97334666a
121351988a99969
136520956ab4b0
142b8c129db877
1514d31683a860
hexa6d2ef09321

11464055231265 has 80 divisors (see below), whose sum is σ = 25292776067328. Its totient is φ = 4837579334784.

The previous prime is 11464055231263. The next prime is 11464055231267. The reversal of 11464055231265 is 56213255046411.

11464055231265 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 4 + 0 + 552 + 31 + 2 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (11464055231263) and next prime (11464055231267).

It is not a de Polignac number, because 11464055231265 - 21 = 11464055231263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11464055231265.

It is not an unprimeable number, because it can be changed into a prime (11464055231263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155492317 + ... + 155566026.

Almost surely, 211464055231265 is an apocalyptic number.

11464055231265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11464055231265 is an abundant number, since it is smaller than the sum of its proper divisors (13828720836063).

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

11464055231265 is a wasteful number, since it uses less digits than its factorization.

11464055231265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311058380 (or 311058371 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 11464055231265 in words is "eleven trillion, four hundred sixty-four billion, fifty-five million, two hundred thirty-one thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 405 455 567 585 819 945 1053 1365 1755 2457 2835 4095 5265 7371 12285 36855 311058343 933175029 1555291715 2177408401 2799525087 4043758459 4665875145 6532225203 8398575261 10887042005 12131275377 13997625435 19596675609 20218792295 25195725783 28306309213 32661126015 36393826131 41992876305 58790026827 60656376885 84918927639 97983378045 109181478393 125978628915 141531546065 176370080481 181969130655 254756782917 293950134135 327544435179 424594638195 545907391965 764270348751 881850402405 1273783914585 1637722175895 2292811046253 3821351743755 11464055231265