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42730500672 = 263324728299
BaseRepresentation
bin100111110010111011…
…111011001001000000
311002021221222100021000
4213302323323021000
51200003002010142
631344034532000
73041621156106
oct476273731100
9132257870230
1042730500672
1117138287672
128346437000
13404c987b32
1420d509dc76
1511a159414c
hex9f2efb240

42730500672 has 56 divisors (see below), whose sum is σ = 125619764000. Its totient is φ = 14243499648.

The previous prime is 42730500643. The next prime is 42730500677. The reversal of 42730500672 is 27600503724.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (42730500677) by changing a digit.

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, 12362422 + ... + 12365877.

Almost surely, 242730500672 is an apocalyptic number.

It is an amenable number.

42730500672 is an abundant number, since it is smaller than the sum of its proper divisors (82889263328).

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

42730500672 is a wasteful number, since it uses less digits than its factorization.

42730500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24728320 (or 24728304 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 42730500672 in words is "forty-two billion, seven hundred thirty million, five hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24728299 49456598 74184897 98913196 148369794 197826392 222554691 296739588 395652784 445109382 593479176 667664073 791305568 890218764 1186958352 1335328146 1582611136 1780437528 2373916704 2670656292 3560875056 4747833408 5341312584 7121750112 10682625168 14243500224 21365250336 42730500672