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5754291516 = 22366729453
BaseRepresentation
bin1010101101111101…
…11000010100111100
3112212000201022000000
411112332320110330
543241044312031
62350554234300
7262411446051
oct52676702474
915760638000
105754291516
112493169426
121147125990
137091c982c
143c832d028
1523a2a03e6
hex156fb853c

5754291516 has 84 divisors (see below), whose sum is σ = 15323973672. Its totient is φ = 1889404704.

The previous prime is 5754291511. The next prime is 5754291523. The reversal of 5754291516 is 6151924575.

It is a happy number.

5754291516 is a `hidden beast` number, since 5 + 7 + 5 + 42 + 91 + 516 = 666.

It is a super-2 number, since 2×57542915162 = 66223741702219156512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754291511) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 180646 + ... + 210098.

It is an arithmetic number, because the mean of its divisors is an integer number (182428258).

Almost surely, 25754291516 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 5754291516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661986836).

5754291516 is an abundant number, since it is smaller than the sum of its proper divisors (9569682156).

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

5754291516 is a wasteful number, since it uses less digits than its factorization.

5754291516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29542 (or 29525 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 5754291516 is about 75857.0465810527. The cubic root of 5754291516 is about 1791.9695263306.

The spelling of 5754291516 in words is "five billion, seven hundred fifty-four million, two hundred ninety-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 603 729 804 972 1206 1458 1809 2412 2916 3618 5427 7236 10854 16281 21708 29453 32562 48843 58906 65124 88359 97686 117812 176718 195372 265077 353436 530154 795231 1060308 1590462 1973351 2385693 3180924 3946702 4771386 5920053 7157079 7893404 9542772 11840106 14314158 17760159 21471237 23680212 28628316 35520318 42942474 53280477 71040636 85884948 106560954 159841431 213121908 319682862 479524293 639365724 959048586 1438572879 1918097172 2877145758 5754291516