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5111078128 = 2413193141719
BaseRepresentation
bin1001100001010010…
…01101110011110000
3111012012101200002221
410300221031303300
540431414000003
62203100050424
7240441306262
oct46051156360
914165350087
105111078128
112193085712
12ba7833a14
13635b808b0
14366b37b32
151eda987bd
hex130a4dcf0

5111078128 has 80 divisors (see below), whose sum is σ = 11588147200. Its totient is φ = 2162661120.

The previous prime is 5111078107. The next prime is 5111078129. The reversal of 5111078128 is 8218701115.

It is a super-2 number, since 2×51110781282 = 52246239261039968768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5111078093 and 5111078102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5111078129) 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, 101653 + ... + 143371.

It is an arithmetic number, because the mean of its divisors is an integer number (144851840).

Almost surely, 25111078128 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 5111078128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794073600).

5111078128 is an abundant number, since it is smaller than the sum of its proper divisors (6477069072).

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

5111078128 is a wasteful number, since it uses less digits than its factorization.

5111078128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41790 (or 41784 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 34.

The square root of 5111078128 is about 71491.8046212291. The cubic root of 5111078128 is about 1722.5460454506.

The spelling of 5111078128 in words is "five billion, one hundred eleven million, seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 104 124 152 208 247 248 304 403 494 496 589 806 988 1178 1612 1976 2356 3224 3952 4712 6448 7657 9424 15314 30628 41719 61256 83438 122512 166876 333752 542347 667504 792661 1084694 1293289 1585322 2169388 2586578 3170644 4338776 5173156 6341288 8677552 10304593 10346312 12682576 16812757 20609186 20692624 24572491 33625514 41218372 49144982 67251028 82436744 98289964 134502056 164873488 196579928 269004112 319442383 393159856 638884766 1277769532 2555539064 5111078128