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42543500544 = 283218465061
BaseRepresentation
bin100111100111110010…
…100100110100000000
311001210221002202022100
4213213302210310000
51144112114004134
631313314510400
73034160534166
oct474762446400
9131727082270
1042543500544
1117051773706
1282b3895400
13402000297c
1420b8303236
15118ee56999
hex9e7ca4d00

42543500544 has 54 divisors (see below), whose sum is σ = 122663406866. Its totient is φ = 14181166080.

The previous prime is 42543500509. The next prime is 42543500557. The reversal of 42543500544 is 44500534524.

42543500544 is a `hidden beast` number, since 4 + 25 + 43 + 50 + 0 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31644140544 + 10899360000 = 177888^2 + 104400^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42543500499 and 42543500508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9230227 + ... + 9234834.

Almost surely, 242543500544 is an apocalyptic number.

It is an amenable number.

42543500544 is an abundant number, since it is smaller than the sum of its proper divisors (80119906322).

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

42543500544 is a wasteful number, since it uses less digits than its factorization.

42543500544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18465083 (or 18465066 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 42543500544 in words is "forty-two billion, five hundred forty-three million, five hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 18465061 36930122 55395183 73860244 110790366 147720488 166185549 221580732 295440976 332371098 443161464 590881952 664742196 886322928 1181763904 1329484392 1772645856 2363527808 2658968784 3545291712 4727055616 5317937568 7090583424 10635875136 14181166848 21271750272 42543500544