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11552151552645 = 351119101163223829
BaseRepresentation
bin1010100000011011000111…
…1000111100001010000101
31111220101010022012202112210
42220012301320330022011
53003232301244141040
640322552443334033
72301421041014664
oct250066170741205
944811108182483
1011552151552645
113754270429840
121366a74221319
1365a494cac702
142bd1acb54ddb
151507709ce480
hexa81b1e3c285

11552151552645 has 128 divisors (see below), whose sum is σ = 21566754662400. Its totient is φ = 5221459584000.

The previous prime is 11552151552637. The next prime is 11552151552679. The reversal of 11552151552645 is 54625515125511.

It is not a de Polignac number, because 11552151552645 - 23 = 11552151552637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11552151552594 and 11552151552603.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 51499591 + ... + 51723419.

It is an arithmetic number, because the mean of its divisors is an integer number (168490270800).

Almost surely, 211552151552645 is an apocalyptic number.

11552151552645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11552151552645 is a deficient number, since it is larger than the sum of its proper divisors (10014603109755).

11552151552645 is a wasteful number, since it uses less digits than its factorization.

11552151552645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224131.

The product of its digits is 1500000, while the sum is 48.

The spelling of 11552151552645 in words is "eleven trillion, five hundred fifty-two billion, one hundred fifty-one million, five hundred fifty-two thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 101 163 165 209 285 303 489 505 627 815 1045 1111 1515 1793 1919 2445 3097 3135 3333 5379 5555 5757 8965 9291 9595 15485 16463 16665 21109 26895 28785 34067 46455 49389 63327 82315 102201 105545 170335 181093 223829 246945 312797 316635 511005 543279 671487 905465 938391 1119145 1563985 2462119 2716395 3357435 3440767 4252751 4691955 7386357 10322301 12310595 12758253 17203835 21263755 22606729 36484127 36931785 46780261 51611505 63791265 67820187 109452381 113033645 140340783 182420635 233901305 248674019 339100935 401325397 429527851 547261905 693198413 701703915 746022057 1203976191 1243370095 1288583553 2006626985 2079595239 2147639255 3465992065 3684896827 3730110285 4724806361 6019880955 6442917765 7625182543 10397976195 11054690481 14174419083 18424484135 22875547629 23624031805 38125912715 40533865097 55273452405 70013039713 70872095415 114377738145 121601595291 202669325485 210039119139 350065198565 608007976455 770143436843 1050195595695 2310430310529 3850717184215 11552151552645