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5742638216 = 2371713943397
BaseRepresentation
bin1010101100100100…
…11011010010001000
3112211012210020200022
411112102123102020
543230103410331
62345500400012
7262210422320
oct52622332210
915735706608
105742638216
11248762a0a7
121143246008
137069795a3
143c6978280
1523924c67b
hex15649b488

5742638216 has 64 divisors (see below), whose sum is σ = 13123555200. Its totient is φ = 2299640832.

The previous prime is 5742638201. The next prime is 5742638219. The reversal of 5742638216 is 6128362475.

It is not an unprimeable number, because it can be changed into a prime (5742638219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110630 + ... + 154026.

It is an arithmetic number, because the mean of its divisors is an integer number (205055550).

Almost surely, 25742638216 is an apocalyptic number.

5742638216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742638216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561777600).

5742638216 is an abundant number, since it is smaller than the sum of its proper divisors (7380916984).

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

5742638216 is a wasteful number, since it uses less digits than its factorization.

5742638216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43566 (or 43562 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 5742638216 is about 75780.1967271133. The cubic root of 5742638216 is about 1790.7590401548.

The spelling of 5742638216 in words is "five billion, seven hundred forty-two million, six hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 139 238 278 476 556 952 973 1112 1946 2363 3892 4726 7784 9452 16541 18904 33082 43397 66164 86794 132328 173588 303779 347176 607558 737749 1215116 1475498 2430232 2950996 5164243 5901992 6032183 10328486 12064366 20656972 24128732 41313944 42225281 48257464 84450562 102547111 168901124 205094222 337802248 410188444 717829777 820376888 1435659554 2871319108 5742638216