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5311459620 = 22325291496829
BaseRepresentation
bin1001111001001011…
…00111000100100100
3111201011110002211200
410330211213010210
541334213201440
62235015002500
7245423443005
oct47445470444
914634402750
105311459620
1122861a9255
121042969430
1366853c71c
143855b91ac
1521147ac30
hex13c967124

5311459620 has 144 divisors (see below), whose sum is σ = 16781310000. Its totient is φ = 1358171136.

The previous prime is 5311459561. The next prime is 5311459711. The reversal of 5311459620 is 269541135.

5311459620 is a `hidden beast` number, since 5 + 31 + 14 + 596 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 339517476 + 4971942144 = 18426^2 + 70512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774366 + ... + 781194.

It is an arithmetic number, because the mean of its divisors is an integer number (116536875).

Almost surely, 25311459620 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 5311459620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390655000).

5311459620 is an abundant number, since it is smaller than the sum of its proper divisors (11469850380).

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

5311459620 is a wasteful number, since it uses less digits than its factorization.

5311459620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5311459620 is about 72879.7613881934. The cubic root of 5311459620 is about 1744.7691005176.

The spelling of 5311459620 in words is "five billion, three hundred eleven million, four hundred fifty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 149 174 180 261 290 298 348 435 447 522 580 596 745 870 894 1044 1305 1341 1490 1740 1788 2235 2610 2682 2980 4321 4470 5220 5364 6705 6829 8642 8940 12963 13410 13658 17284 20487 21605 25926 26820 27316 34145 38889 40974 43210 51852 61461 64815 68290 77778 81948 86420 102435 122922 129630 136580 155556 194445 198041 204870 245844 259260 307305 388890 396082 409740 594123 614610 777780 792164 990205 1017521 1188246 1229220 1782369 1980410 2035042 2376492 2970615 3052563 3564738 3960820 4070084 5087605 5941230 6105126 7129476 8911845 9157689 10175210 11882460 12210252 15262815 17823690 18315378 20350420 29508109 30525630 35647380 36630756 45788445 59016218 61051260 88524327 91576890 118032436 147540545 177048654 183153780 265572981 295081090 354097308 442621635 531145962 590162180 885243270 1062291924 1327864905 1770486540 2655729810 5311459620