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77739074368 = 2637233140897
BaseRepresentation
bin100100001100110011…
…1000010001101000000
321102122202210011002121
41020121213002031000
52233202200334433
655413550054024
75421306141454
oct1103147021500
9242582704077
1077739074368
112aa727541aa
12130967aa314
13743b8c10b7
143a9679c664
15204ec69c2d
hex12199c2340

77739074368 has 56 divisors (see below), whose sum is σ = 159113857032. Its totient is φ = 37656428544.

The previous prime is 77739074339. The next prime is 77739074401. The reversal of 77739074368 is 86347093777.

It can be written as a sum of positive squares in 4 ways, for example, as 19962298944 + 57776775424 = 141288^2 + 240368^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481296 + ... + 622192.

Almost surely, 277739074368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77739074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79556928516).

77739074368 is an abundant number, since it is smaller than the sum of its proper divisors (81374782664).

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

77739074368 is a wasteful number, since it uses less digits than its factorization.

77739074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141179 (or 141169 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 61.

The spelling of 77739074368 in words is "seventy-seven billion, seven hundred thirty-nine million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 233 296 466 592 932 1184 1864 2368 3728 7456 8621 14912 17242 34484 68968 137936 140897 275872 281794 551744 563588 1127176 2254352 4508704 5213189 9017408 10426378 20852756 32829001 41705512 65658002 83411024 131316004 166822048 262632008 333644096 525264016 1050528032 1214673037 2101056064 2429346074 4858692148 9717384296 19434768592 38869537184 77739074368