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162420020742 = 23743317835009
BaseRepresentation
bin1001011101000011111…
…1001101011000000110
3120112020022220221100210
42113100333031120012
510130114011130432
6202340440420250
714506630253160
oct2272077153006
9515208827323
10162420020742
116297795a601
122758a177686
1312415745265
147c0b0a5930
15435916a8cc
hex25d0fcd606

162420020742 has 64 divisors (see below), whose sum is σ = 372386165760. Its totient is φ = 46263343104.

The previous prime is 162420020689. The next prime is 162420020839. The reversal of 162420020742 is 247020024261.

162420020742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 32423134 + ... + 32428142.

It is an arithmetic number, because the mean of its divisors is an integer number (5818533840).

Almost surely, 2162420020742 is an apocalyptic number.

162420020742 is an abundant number, since it is smaller than the sum of its proper divisors (209966145018).

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

162420020742 is a wasteful number, since it uses less digits than its factorization.

162420020742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237.

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 162420020742 in words is "one hundred sixty-two billion, four hundred twenty million, twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 433 866 1299 1783 2598 3031 3566 5009 5349 6062 9093 10018 10698 12481 15027 18186 24962 30054 35063 37443 70126 74886 105189 210378 772039 1544078 2168897 2316117 4337794 4632234 5404273 6506691 8931047 10808546 13013382 15182279 16212819 17862094 26793141 30364558 32425638 45546837 53586282 62517329 91093674 125034658 187551987 375103974 3867143351 7734286702 11601430053 23202860106 27070003457 54140006914 81210010371 162420020742