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42675381672 = 23371123092739
BaseRepresentation
bin100111101111101001…
…101010010110101000
311002011010021000012120
4213233221222112220
51144344344203142
631334345311240
73040351521240
oct475751522650
9132133230176
1042675381672
111710a15a980
12832ba95520
134041429741
1420cba32b20
15119b8077ec
hex9efa6a5a8

42675381672 has 64 divisors (see below), whose sum is σ = 133014182400. Its totient is φ = 11084514240.

The previous prime is 42675381653. The next prime is 42675381677. The reversal of 42675381672 is 27618357624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42675381677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11544522 + ... + 11548217.

It is an arithmetic number, because the mean of its divisors is an integer number (2078346600).

Almost surely, 242675381672 is an apocalyptic number.

42675381672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42675381672 is an abundant number, since it is smaller than the sum of its proper divisors (90338800728).

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

42675381672 is a wasteful number, since it uses less digits than its factorization.

42675381672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23092766 (or 23092762 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 42675381672 in words is "forty-two billion, six hundred seventy-five million, three hundred eighty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 23092739 46185478 69278217 92370956 138556434 161649173 184741912 254020129 277112868 323298346 484947519 508040258 554225736 646596692 762060387 969895038 1016080516 1293193384 1524120774 1778140903 1939790076 2032161032 3048241548 3556281806 3879580152 5334422709 6096483096 7112563612 10668845418 14225127224 21337690836 42675381672