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54432041535 = 32514922673581
BaseRepresentation
bin110010101100011001…
…110000101000111111
312012111110111012122100
4302230121300220333
51342434100312120
641001123320143
73634606501434
oct625431605077
9165443435570
1054432041535
11210a25174a3
12a671220053
135196041001
1428c51c9b8b
151638a0c490
hexcac670a3f

54432041535 has 48 divisors (see below), whose sum is σ = 95050519200. Its totient is φ = 28814818560.

The previous prime is 54432041527. The next prime is 54432041551. The reversal of 54432041535 is 53514023445.

54432041535 is a `hidden beast` number, since 5 + 443 + 204 + 1 + 5 + 3 + 5 = 666.

It is not a de Polignac number, because 54432041535 - 23 = 54432041527 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54432041535.

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 47 ways as a sum of consecutive naturals, for example, 15198445 + ... + 15202025.

It is an arithmetic number, because the mean of its divisors is an integer number (1980219150).

Almost surely, 254432041535 is an apocalyptic number.

54432041535 is a deficient number, since it is larger than the sum of its proper divisors (40618477665).

54432041535 is a wasteful number, since it uses less digits than its factorization.

54432041535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 54432041535 in words is "fifty-four billion, four hundred thirty-two million, forty-one thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 2267 3581 6705 6801 10743 11335 17905 20403 32229 34005 53715 102015 161145 337783 533569 1013349 1600707 1688915 2667845 3040047 4802121 5066745 8003535 8118127 15200235 24010605 24354381 40590635 73063143 121771905 365315715 1209600923 3628802769 6048004615 10886408307 18144013845 54432041535