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5206471344 = 24363491279
BaseRepresentation
bin1001101100101010…
…00111001010110000
3111102211220011000000
410312111013022300
541130324040334
62220344430000
7243010163514
oct46625071260
914384804000
105206471344
112231a0aa88
121013778300
1364c870599
1437568a144
1520713d299
hex1365472b0

5206471344 has 140 divisors (see below), whose sum is σ = 15179584000. Its totient is φ = 1729164672.

The previous prime is 5206471327. The next prime is 5206471373. The reversal of 5206471344 is 4431746025.

5206471344 is a `hidden beast` number, since 5 + 2 + 0 + 647 + 1 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5206471299 and 5206471308.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4070097 + ... + 4071375.

It is an arithmetic number, because the mean of its divisors is an integer number (108425600).

Almost surely, 25206471344 is an apocalyptic number.

5206471344 is a gapful number since it is divisible by the number (54) 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 5206471344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589792000).

5206471344 is an abundant number, since it is smaller than the sum of its proper divisors (9973112656).

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

5206471344 is a wasteful number, since it uses less digits than its factorization.

5206471344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5206471344 is about 72155.8822550179. The cubic root of 5206471344 is about 1733.1965962484.

The spelling of 5206471344 in words is "five billion, two hundred six million, four hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 349 432 486 648 698 729 972 1047 1279 1296 1396 1458 1944 2094 2558 2792 2916 3141 3837 3888 4188 5116 5584 5832 6282 7674 8376 9423 10232 11511 11664 12564 15348 16752 18846 20464 23022 25128 28269 30696 34533 37692 46044 50256 56538 61392 69066 75384 84807 92088 103599 113076 138132 150768 169614 184176 207198 226152 254421 276264 310797 339228 414396 446371 452304 508842 552528 621594 678456 828792 892742 932391 1017684 1243188 1339113 1356912 1657584 1785484 1864782 2035368 2486376 2678226 3570968 3729564 4017339 4070736 4972752 5356452 7141936 7459128 8034678 10712904 12052017 14918256 16069356 21425808 24104034 32138712 36156051 48208068 64277424 72312102 96416136 108468153 144624204 192832272 216936306 289248408 325404459 433872612 578496816 650808918 867745224 1301617836 1735490448 2603235672 5206471344