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550567514133 = 327213611574341
BaseRepresentation
bin10000000001100000110…
…00011001000000010101
31221122002222220120220100
420000300120121000111
533010030240423013
61100532140324313
754530401440300
oct10006030310025
91848088816810
10550567514133
111a254901029a
128a853b43699
133cbc2650a80
141c90d081b37
15e4c522a473
hex8030619015

550567514133 has 72 divisors (see below), whose sum is σ = 1012597882296. Its totient is φ = 285648249600.

The previous prime is 550567514131. The next prime is 550567514177. The reversal of 550567514133 is 331415765055.

550567514133 is a `hidden beast` number, since 5 + 5 + 0 + 567 + 51 + 4 + 1 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91103159889 + 459464354244 = 301833^2 + 677838^2 .

It is not a de Polignac number, because 550567514133 - 21 = 550567514131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550567514131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 437458 + ... + 1136883.

Almost surely, 2550567514133 is an apocalyptic number.

It is an amenable number.

550567514133 is a deficient number, since it is larger than the sum of its proper divisors (462030368163).

550567514133 is a wasteful number, since it uses less digits than its factorization.

550567514133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574435 (or 1574425 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 550567514133 in words is "five hundred fifty billion, five hundred sixty-seven million, five hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 49 61 63 91 117 147 183 273 427 441 549 637 793 819 1281 1911 2379 2989 3843 5551 5733 7137 8967 16653 26901 38857 49959 116571 349713 1574341 4723023 11020387 14169069 20466433 33061161 61399299 77142709 96034801 99183483 143265031 184197897 231428127 288104403 429795093 672243607 694284381 864313209 1002855217 1248452413 1289385279 2016730821 3008565651 3745357239 4705705249 6050192463 8739166891 9025696953 11236071717 14117115747 26217500673 42351347241 61174168237 78652502019 183522504711 550567514133