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42828416288 = 2572231187567
BaseRepresentation
bin100111111000110001…
…011100010100100000
311002112210012222020022
4213320301130110200
51200203033310123
631401453333012
73044220350300
oct477061342440
9132483188208
1042828416288
1117188585069
128373197168
13406704b978
1421040ab600
1511a9e861c8
hex9f8c5c520

42828416288 has 72 divisors (see below), whose sum is σ = 102349360512. Its totient is φ = 17556975744.

The previous prime is 42828416273. The next prime is 42828416291. The reversal of 42828416288 is 88261482824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557720 + ... + 629847.

It is an arithmetic number, because the mean of its divisors is an integer number (1421518896).

Almost surely, 242828416288 is an apocalyptic number.

It is an amenable number.

42828416288 is an abundant number, since it is smaller than the sum of its proper divisors (59520944224).

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

42828416288 is a wasteful number, since it uses less digits than its factorization.

42828416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187614 (or 1187599 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 53.

The spelling of 42828416288 in words is "forty-two billion, eight hundred twenty-eight million, four hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 1187567 2375134 4750268 8312969 9500536 16625938 19001072 27314041 33251876 38002144 54628082 58190783 66503752 109256164 116381566 133007504 191198287 218512328 232763132 266015008 382396574 437024656 465526264 764793148 874049312 931052528 1338388009 1529586296 1862105056 2676776018 3059172592 5353552036 6118345184 10707104072 21414208144 42828416288