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5072771574 = 23213163179743
BaseRepresentation
bin1001011100101110…
…00101100111110110
3111002112022111101200
410232113011213312
540342112142244
62155211033330
7236464563333
oct45627054766
914075274350
105072771574
1121734a1402
12b96a3b846
1362ac5aab0
14361a0598a
151ea52d669
hex12e5c59f6

5072771574 has 96 divisors (see below), whose sum is σ = 11991732480. Its totient is φ = 1540534464.

The previous prime is 5072771569. The next prime is 5072771591. The reversal of 5072771574 is 4751772705.

5072771574 is a `hidden beast` number, since 5 + 0 + 7 + 2 + 7 + 71 + 574 = 666.

It is a super-2 number, since 2×50727715742 = 51466022883964874952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6827047 + ... + 6827789.

It is an arithmetic number, because the mean of its divisors is an integer number (124913880).

Almost surely, 25072771574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5072771574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995866240).

5072771574 is an abundant number, since it is smaller than the sum of its proper divisors (6918960906).

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

5072771574 is a wasteful number, since it uses less digits than its factorization.

5072771574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The square root of 5072771574 is about 71223.3920422216. The cubic root of 5072771574 is about 1718.2318649508.

The spelling of 5072771574 in words is "five billion, seventy-two million, seven hundred seventy-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 179 234 326 358 489 537 743 978 1074 1467 1486 1611 2119 2229 2327 2934 3222 4238 4458 4654 6357 6687 6981 9659 12714 13374 13962 19071 19318 20943 28977 29177 38142 41886 57954 58354 86931 87531 121109 132997 173862 175062 242218 262593 265994 363327 379301 398991 525186 726654 758602 797982 1089981 1137903 1196973 1574417 1728961 2179962 2275806 2393946 3148834 3413709 3457922 4723251 5186883 6827418 9446502 10373766 14169753 15560649 21678511 28339506 31121298 43357022 65035533 130071066 195106599 281820643 390213198 563641286 845461929 1690923858 2536385787 5072771574