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42507502272 = 263324599249
BaseRepresentation
bin100111100101101001…
…010000001011000000
311001201102100211222000
4213211221100023000
51144023410033042
631305551144000
73033242544024
oct474551201300
9131642324860
1042507502272
1117033416674
1282a3815000
13401570a711
1420b3612384
15118bbe574c
hex9e5a502c0

42507502272 has 56 divisors (see below), whose sum is σ = 124964190000. Its totient is φ = 14169166848.

The previous prime is 42507502249. The next prime is 42507502273. The reversal of 42507502272 is 27220570524.

42507502272 is a `hidden beast` number, since 425 + 0 + 7 + 5 + 0 + 227 + 2 = 666.

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 (42507502273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12297897 + ... + 12301352.

Almost surely, 242507502272 is an apocalyptic number.

It is an amenable number.

42507502272 is an abundant number, since it is smaller than the sum of its proper divisors (82456687728).

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

42507502272 is a wasteful number, since it uses less digits than its factorization.

42507502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24599270 (or 24599254 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 42507502272 in words is "forty-two billion, five hundred seven million, five hundred two thousand, two 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 24599249 49198498 73797747 98396996 147595494 196793992 221393241 295190988 393587984 442786482 590381976 664179723 787175968 885572964 1180763952 1328359446 1574351936 1771145928 2361527904 2656718892 3542291856 4723055808 5313437784 7084583712 10626875568 14169167424 21253751136 42507502272