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5186666816 = 261721914759
BaseRepresentation
bin1001101010010011…
…00100000101000000
3111101110121222021222
410311021210011000
541110241314231
62214400134212
7242346640412
oct46511440500
914343558258
105186666816
112221813601
121009007368
13648728126
14372bb29b2
1520552a27b
hex135264140

5186666816 has 84 divisors (see below), whose sum is σ = 11509552800. Its totient is φ = 2312165376.

The previous prime is 5186666803. The next prime is 5186666827. The reversal of 5186666816 is 6186666815.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344045 + ... + 358803.

Almost surely, 25186666816 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 5186666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754776400).

5186666816 is an abundant number, since it is smaller than the sum of its proper divisors (6322885984).

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

5186666816 is a wasteful number, since it uses less digits than its factorization.

5186666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14824 (or 14797 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 53.

The square root of 5186666816 is about 72018.5171744045. The cubic root of 5186666816 is about 1730.9962092825.

Subtracting 5186666816 from its reverse (6186666815), we obtain a palindrome (999999999).

The spelling of 5186666816 in words is "five billion, one hundred eighty-six million, six hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 289 304 323 544 578 608 646 1088 1156 1216 1292 2312 2584 4624 5168 5491 9248 10336 10982 14759 18496 20672 21964 29518 43928 59036 87856 118072 175712 236144 250903 280421 351424 472288 501806 560842 944576 1003612 1121684 2007224 2243368 4014448 4265351 4486736 4767157 8028896 8530702 8973472 9534314 16057792 17061404 17946944 19068628 34122808 38137256 68245616 76274512 81041669 136491232 152549024 162083338 272982464 305098048 324166676 648333352 1296666704 2593333408 5186666816