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145206455456 = 2519613915187
BaseRepresentation
bin1000011100111011111…
…0101010110010100000
3111212210200120012221202
42013032332222302200
54334340323033311
6150412410140332
713330231335506
oct2071676526240
9455720505852
10145206455456
1156644293197
12241854216a8
131090142827a
147056cb2676
153b9cd59e3b
hex21cefaaca0

145206455456 has 48 divisors (see below), whose sum is σ = 305854486560. Its totient is φ = 67654414080.

The previous prime is 145206455389. The next prime is 145206455467. The reversal of 145206455456 is 654554602541.

145206455456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145206455456.

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 7 ways as a sum of consecutive naturals, for example, 1920506 + ... + 1994681.

It is an arithmetic number, because the mean of its divisors is an integer number (6371968470).

Almost surely, 2145206455456 is an apocalyptic number.

145206455456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145206455456 is an abundant number, since it is smaller than the sum of its proper divisors (160648031104).

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

145206455456 is a wasteful number, since it uses less digits than its factorization.

145206455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915277 (or 3915269 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 47.

The spelling of 145206455456 in words is "one hundred forty-five billion, two hundred six million, four hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 304 488 608 976 1159 1952 2318 4636 9272 18544 37088 3915187 7830374 15660748 31321496 62642992 74388553 125285984 148777106 238826407 297554212 477652814 595108424 955305628 1190216848 1910611256 2380433696 3821222512 4537701733 7642445024 9075403466 18150806932 36301613864 72603227728 145206455456