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14554040532 = 22322710215233
BaseRepresentation
bin11011000110111110…
…10000100011010100
31101120021222212022020
431203133100203110
5214301313244112
610404103333140
71023443206023
oct154337204324
941507885266
1014554040532
116199416079
1229a21511b0
1314ac335505
149c0cd88ba
155a2ac348c
hex3637d08d4

14554040532 has 48 divisors (see below), whose sum is σ = 34148960832. Its totient is φ = 4824322560.

The previous prime is 14554040507. The next prime is 14554040573. The reversal of 14554040532 is 23504045541.

14554040532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14554040493 and 14554040502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778588 + ... + 2783820.

It is an arithmetic number, because the mean of its divisors is an integer number (711436684).

Almost surely, 214554040532 is an apocalyptic number.

14554040532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14554040532 is an abundant number, since it is smaller than the sum of its proper divisors (19594920300).

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

14554040532 is a wasteful number, since it uses less digits than its factorization.

14554040532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 14554040532 in words is "fourteen billion, five hundred fifty-four million, forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 227 454 681 908 1021 1362 2042 2724 3063 4084 5233 6126 10466 12252 15699 20932 31398 62796 231767 463534 695301 927068 1187891 1390602 2375782 2781204 3563673 4751564 5342893 7127346 10685786 14254692 16028679 21371572 32057358 64114716 1212836711 2425673422 3638510133 4851346844 7277020266 14554040532