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5878112064 = 2631113920023
BaseRepresentation
bin1010111100101110…
…01101111101000000
3120011122201000212020
411132113031331000
544014244041224
62411140201440
7265444061646
oct53627157500
916148630766
105878112064
11254704a660
121180699280
13728a60726
143da961196
152460acc79
hex15e5cdf40

5878112064 has 112 divisors (see below), whose sum is σ = 17089282560. Its totient is φ = 1768343040.

The previous prime is 5878112063. The next prime is 5878112153. The reversal of 5878112064 is 4602118785.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5878112063) 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, 283557 + ... + 303579.

It is an arithmetic number, because the mean of its divisors is an integer number (152582880).

Almost surely, 25878112064 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 5878112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544641280).

5878112064 is an abundant number, since it is smaller than the sum of its proper divisors (11211170496).

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

5878112064 is a wasteful number, since it uses less digits than its factorization.

5878112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20188 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 5878112064 is about 76668.8467632062. The cubic root of 5878112064 is about 1804.7315908568.

The spelling of 5878112064 in words is "five billion, eight hundred seventy-eight million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 139 176 192 264 278 352 417 528 556 704 834 1056 1112 1529 1668 2112 2224 3058 3336 4448 4587 6116 6672 8896 9174 12232 13344 18348 20023 24464 26688 36696 40046 48928 60069 73392 80092 97856 120138 146784 160184 220253 240276 293568 320368 440506 480552 640736 660759 881012 961104 1281472 1321518 1762024 1922208 2643036 2783197 3524048 3844416 5286072 5566394 7048096 8349591 10572144 11132788 14096192 16699182 21144288 22265576 30615167 33398364 42288576 44531152 61230334 66796728 89062304 91845501 122460668 133593456 178124608 183691002 244921336 267186912 367382004 489842672 534373824 734764008 979685344 1469528016 1959370688 2939056032 5878112064