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11345412252555 = 3253135947034817
BaseRepresentation
bin1010010100011000111101…
…0001000110001110001011
31111011121111021202011022100
42211012033101012032023
52441340401014040210
640044002130524443
72250451614656523
oct245061721061613
944147437664270
1011345412252555
113684620495747
121332997736723
13643b386a5304
142b31999ba683
1514a1c0a8a5c0
hexa518f44638b

11345412252555 has 96 divisors (see below), whose sum is σ = 20364848824320. Its totient is φ = 5836931896320.

The previous prime is 11345412252523. The next prime is 11345412252607. The reversal of 11345412252555 is 55525221454311.

11345412252555 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 5 + 41 + 2 + 2 + 52 + 555 = 666.

It is not a de Polignac number, because 11345412252555 - 25 = 11345412252523 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 11345412252555.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2355283507 + ... + 2355288323.

It is an arithmetic number, because the mean of its divisors is an integer number (212133841920).

Almost surely, 211345412252555 is an apocalyptic number.

11345412252555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11345412252555 is a deficient number, since it is larger than the sum of its proper divisors (9019436571765).

11345412252555 is a wasteful number, since it uses less digits than its factorization.

11345412252555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9918 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 11345412252555 in words is "eleven trillion, three hundred forty-five billion, four hundred twelve million, two hundred fifty-two thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 359 465 1077 1395 1795 3231 4703 4817 5385 11129 14109 14451 16155 23515 24085 33387 42327 43353 55645 70545 72255 100161 145793 149327 166935 211635 216765 437379 447981 500805 728965 746635 1312137 1343943 1688377 1729303 2186895 2239905 5065131 5187909 6560685 6719715 8441885 8646515 15195393 15563727 22654351 25325655 25939545 52339687 53608393 67963053 75976965 77818635 113271755 157019061 160825179 203889159 261698435 268041965 339815265 471057183 482475537 702284881 785095305 804125895 1019445795 2106854643 2355285915 2412377685 3511424405 6320563929 8132912009 10534273215 24398736027 31602819645 40664560045 73196208081 121993680135 252120272279 365981040405 756360816837 1260601361395 2269082450511 3781804084185 11345412252555