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11529454145 = 5112172234761
BaseRepresentation
bin10101011110011010…
…11000001001000001
31002202111200221210012
422233031120021001
5142103020013040
65144020114305
7555465512636
oct125715301101
932674627705
1011529454145
114987092600
122299235995
131119823121
147b533218d
154772c4865
hex2af358241

11529454145 has 144 divisors (see below), whose sum is σ = 17497880064. Its totient is φ = 7266969600.

The previous prime is 11529454133. The next prime is 11529454177. The reversal of 11529454145 is 54145492511.

It is not a de Polignac number, because 11529454145 - 228 = 11261018689 is a prime.

It is a Duffinian number.

Its product of digits (144000) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189007415 + ... + 189007475.

It is an arithmetic number, because the mean of its divisors is an integer number (121513056).

Almost surely, 211529454145 is an apocalyptic number.

It is an amenable number.

11529454145 is a deficient number, since it is larger than the sum of its proper divisors (5968425919).

11529454145 is a wasteful number, since it uses less digits than its factorization.

11529454145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its digits is 144000, while the sum is 41.

The spelling of 11529454145 in words is "eleven billion, five hundred twenty-nine million, four hundred fifty-four thousand, one hundred forty-five".

Divisors: 1 5 11 17 23 47 55 61 85 115 121 187 235 253 289 305 391 517 605 671 799 935 1037 1081 1265 1403 1445 1955 2057 2585 2783 2867 3179 3355 3995 4301 5185 5405 5687 6647 7015 7381 8789 10285 11407 11891 13583 13915 14335 15433 15895 17629 18377 21505 23851 28435 31537 33235 34969 36905 43945 47311 48739 57035 59455 65941 67915 73117 77165 88145 91885 96679 119255 125477 130801 149413 157685 169763 174845 193919 202147 236555 243695 262361 312409 329705 346907 365585 405467 483395 536129 627385 654005 725351 747065 804287 828563 848815 969595 1010735 1120997 1311805 1562045 1643543 1734535 2027335 2133109 2223617 2680645 2885971 3436499 3626755 4021435 4142815 4460137 5604985 5897419 7978861 8217715 9114193 10665545 11118085 12330967 14429855 17182495 19056949 22300685 29487095 37801489 39894305 45570965 49061507 61654835 95284745 100256123 135640637 189007445 209626439 245307535 501280615 678203185 1048132195 2305890829 11529454145