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5271756138 = 23211412812311
BaseRepresentation
bin1001110100011100…
…01001110101101010
3111121101201221220100
410322032021311222
541244032144023
62231040010230
7244432121265
oct47216116552
914541657810
105271756138
112265850460
121031600976
1366024ab3c
14380201cdc
1520cc36c43
hex13a389d6a

5271756138 has 96 divisors (see below), whose sum is σ = 12815397504. Its totient is φ = 1552320000.

The previous prime is 5271756121. The next prime is 5271756199. The reversal of 5271756138 is 8316571725.

It is a happy number.

5271756138 is a `hidden beast` number, since 5 + 27 + 1 + 7 + 5 + 613 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5271756093 and 5271756102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280003 + ... + 2282313.

It is an arithmetic number, because the mean of its divisors is an integer number (133493724).

Almost surely, 25271756138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5271756138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407698752).

5271756138 is an abundant number, since it is smaller than the sum of its proper divisors (7543641366).

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

5271756138 is a wasteful number, since it uses less digits than its factorization.

5271756138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2649 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5271756138 is about 72606.8601304312. The cubic root of 5271756138 is about 1740.4108047079.

The spelling of 5271756138 in words is "five billion, two hundred seventy-one million, seven hundred fifty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 281 369 451 562 738 843 902 1353 1686 2311 2529 2706 3091 4059 4622 5058 6182 6933 8118 9273 11521 13866 18546 20799 23042 25421 27819 34563 41598 50842 55638 69126 76263 94751 103689 126731 152526 189502 207378 228789 253462 284253 380193 457578 568506 649391 760386 852759 1042261 1140579 1298782 1705518 1948173 2084522 2281158 3126783 3896346 5844519 6253566 7143301 9380349 11689038 14286602 18760698 21429903 26625031 42859806 53250062 64289709 79875093 128579418 159750186 239625279 292875341 479250558 585750682 878626023 1757252046 2635878069 5271756138