Search a number
-
+
5000170120 = 2351128091277
BaseRepresentation
bin1001010100000100…
…01000101010001000
3110220110200221220221
410222002020222020
540220020420440
62144054555424
7234623513311
oct45202105210
913813627827
105000170120
112136513900
12b76668b74
13618bbb15a
14356107608
151e3e8bd4a
hex12a088a88

5000170120 has 96 divisors (see below), whose sum is σ = 12391104600. Its totient is φ = 1814574080.

The previous prime is 5000170103. The next prime is 5000170151. The reversal of 5000170120 is 210710005.

It can be written as a sum of positive squares in 4 ways, for example, as 4860599524 + 139570596 = 69718^2 + 11814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5000170094 and 5000170103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3914922 + ... + 3916198.

Almost surely, 25000170120 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 5000170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195552300).

5000170120 is an abundant number, since it is smaller than the sum of its proper divisors (7390934480).

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

5000170120 is a wasteful number, since it uses less digits than its factorization.

5000170120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 5000170120 is about 70711.8810384790. The cubic root of 5000170120 is about 1709.9953398640.

Adding to 5000170120 its reverse (210710005), we get a palindrome (5210880125).

The spelling of 5000170120 in words is "five billion, one hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 809 968 1210 1277 1618 2420 2554 3236 4045 4840 5108 6385 6472 8090 8899 10216 12770 14047 16180 17798 25540 28094 32360 35596 44495 51080 56188 70235 71192 88990 97889 112376 140470 154517 177980 195778 280940 309034 355960 391556 489445 561880 618068 772585 783112 978890 1033093 1236136 1545170 1957780 2066186 3090340 3915560 4132372 5165465 6180680 8264744 10330930 11364023 20661860 22728046 41323720 45456092 56820115 90912184 113640230 125004253 227280460 250008506 454560920 500017012 625021265 1000034024 1250042530 2500085060 5000170120