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28077142842 = 2327417517237
BaseRepresentation
bin11010001001100001…
…110011001100111010
32200110202002122020100
4122021201303030322
5430000222032332
620522022340230
72012530530210
oct321141631472
980422078210
1028077142842
11109a88a6a91
125536b8a676
132855bba7b8
141504d10cb0
15ae4e0367c
hex68987333a

28077142842 has 96 divisors (see below), whose sum is σ = 71324757504. Its totient is φ = 7814880000.

The previous prime is 28077142817. The next prime is 28077142867. The reversal of 28077142842 is 24824177082.

It is an interprime number because it is at equal distance from previous prime (28077142817) and next prime (28077142867).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3876048 + ... + 3883284.

It is an arithmetic number, because the mean of its divisors is an integer number (742966224).

Almost surely, 228077142842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28077142842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35662378752).

28077142842 is an abundant number, since it is smaller than the sum of its proper divisors (43247614662).

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

28077142842 is a wasteful number, since it uses less digits than its factorization.

28077142842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 28077142842 in words is "twenty-eight billion, seventy-seven million, one hundred forty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 751 861 1502 1722 2253 2583 4506 5166 5257 6759 7237 10514 13518 14474 15771 21711 30791 31542 43422 47313 50659 61582 65133 92373 94626 101318 130266 151977 184746 215537 277119 296717 303954 431074 455931 554238 593434 646611 890151 911862 1293222 1780302 1939833 2077019 2670453 3879666 4154038 5340906 5434987 6231057 10869974 12462114 16304961 18693171 32609922 37386342 38044909 48914883 76089818 97829766 114134727 222834467 228269454 342404181 445668934 668503401 684808362 1337006802 1559841269 2005510203 3119682538 4011020406 4679523807 9359047614 14038571421 28077142842