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5071962168 = 23327213110587
BaseRepresentation
bin1001011100101000…
…00000000000111000
3111002110210101002200
410232110000000320
540341410242133
62155141430200
7236454652500
oct45624000070
914073711080
105071962168
112172a99279
12b9670b360
1362aa36560
14361874a00
151ea41d913
hex12e500038

5071962168 has 144 divisors (see below), whose sum is σ = 17208598680. Its totient is φ = 1337648256.

The previous prime is 5071962157. The next prime is 5071962169. The reversal of 5071962168 is 8612691705.

5071962168 is a `hidden beast` number, since 5 + 0 + 7 + 19 + 621 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5071962169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9430 + ... + 101157.

Almost surely, 25071962168 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 5071962168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604299340).

5071962168 is an abundant number, since it is smaller than the sum of its proper divisors (12136636512).

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

5071962168 is a wasteful number, since it uses less digits than its factorization.

5071962168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110626 (or 110612 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5071962168 is about 71217.7096514624. The cubic root of 5071962168 is about 1718.1404736778.

The spelling of 5071962168 in words is "five billion, seventy-one million, nine hundred sixty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 110587 221174 331761 442348 663522 774109 884696 995283 1327044 1437631 1548218 1990566 2322327 2654088 2875262 3096436 3981132 4312893 4644654 5418763 5750524 6192872 6966981 7962264 8625786 9289308 10063417 10837526 11501048 12938679 13933962 16256289 17251572 18578616 20126834 21675052 25877358 27867924 30190251 32512578 34503144 40253668 43350104 48768867 51754716 55735848 60380502 65025156 70443919 80507336 90570753 97537734 103509432 120761004 130050312 140887838 181141506 195075468 211331757 241522008 281775676 362283012 390150936 422663514 563551352 633995271 724566024 845327028 1267990542 1690654056 2535981084 5071962168