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5206039344 = 24331110110847
BaseRepresentation
bin1001101100100110…
…11101101100110000
3111102211002012102000
410312103131230300
541130221224334
62220331254000
7243003414162
oct46623355460
914384065360
105206039344
112231745460
1210135aa300
1364c74ba6c
143755b6932
152070a5299
hex1364ddb30

5206039344 has 160 divisors (see below), whose sum is σ = 16464660480. Its totient is φ = 1561824000.

The previous prime is 5206039309. The next prime is 5206039357. The reversal of 5206039344 is 4439306025.

5206039344 is a `hidden beast` number, since 5 + 2 + 0 + 603 + 9 + 3 + 44 = 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 = 5206039299 and 5206039308.

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 31 ways as a sum of consecutive naturals, for example, 474529 + ... + 485375.

It is an arithmetic number, because the mean of its divisors is an integer number (102904128).

Almost surely, 25206039344 is an apocalyptic number.

5206039344 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 5206039344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232330240).

5206039344 is an abundant number, since it is smaller than the sum of its proper divisors (11258621136).

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

5206039344 is a wasteful number, since it uses less digits than its factorization.

5206039344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5206039344 is about 72152.8886739817. Note that the first 3 decimals coincide. The cubic root of 5206039344 is about 1733.1486583656.

The spelling of 5206039344 in words is "five billion, two hundred six million, thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 101 108 132 144 176 198 202 216 264 297 303 396 404 432 528 594 606 792 808 909 1111 1188 1212 1584 1616 1818 2222 2376 2424 2727 3333 3636 4444 4752 4848 5454 6666 7272 8888 9999 10847 10908 13332 14544 17776 19998 21694 21816 26664 29997 32541 39996 43388 43632 53328 59994 65082 79992 86776 97623 119317 119988 130164 159984 173552 195246 238634 239976 260328 292869 357951 390492 477268 479952 520656 585738 715902 780984 954536 1073853 1095547 1171476 1431804 1561968 1909072 2147706 2191094 2342952 2863608 3221559 3286641 4295412 4382188 4685904 5727216 6443118 6573282 8590824 8764376 9859923 12051017 12886236 13146564 17181648 17528752 19719846 24102034 25772472 26293128 29579769 36153051 39439692 48204068 51544944 52586256 59159538 72306102 78879384 96408136 108459153 118319076 144612204 157758768 192816272 216918306 236638152 289224408 325377459 433836612 473276304 578448816 650754918 867673224 1301509836 1735346448 2603019672 5206039344