Search a number
-
+
5684808480 = 253513270079
BaseRepresentation
bin1010100101101011…
…10100101100100000
3112200011222012012020
411102311310230200
543120302332410
62340033101440
7260606034441
oct52265645440
915604865166
105684808480
112457a2082a
1211279b7880
136c79ac400
143bd0032c8
15234127a70
hex152d74b20

5684808480 has 144 divisors (see below), whose sum is σ = 19390855680. Its totient is φ = 1399317504.

The previous prime is 5684808469. The next prime is 5684808499. The reversal of 5684808480 is 848084865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46081 + ... + 116159.

It is an arithmetic number, because the mean of its divisors is an integer number (134658720).

Almost surely, 25684808480 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 5684808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695427840).

5684808480 is an abundant number, since it is smaller than the sum of its proper divisors (13706047200).

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

5684808480 is a wasteful number, since it uses less digits than its factorization.

5684808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70123 (or 70102 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The square root of 5684808480 is about 75397.6689294835. The cubic root of 5684808480 is about 1784.7276251932.

The spelling of 5684808480 in words is "five billion, six hundred eighty-four million, eight hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 2028 2080 2535 2704 3120 3380 4056 5070 5408 6240 6760 8112 10140 13520 16224 20280 27040 40560 70079 81120 140158 210237 280316 350395 420474 560632 700790 840948 911027 1051185 1121264 1401580 1681896 1822054 2102370 2242528 2733081 2803160 3363792 3644108 4204740 4555135 5466162 5606320 6727584 7288216 8409480 9110270 10932324 11212640 11843351 13665405 14576432 16818960 18220540 21864648 23686702 27330810 29152864 33637920 35530053 36441080 43729296 47373404 54661620 59216755 71060106 72882160 87458592 94746808 109323240 118433510 142120212 145764320 177650265 189493616 218646480 236867020 284240424 355300530 378987232 437292960 473734040 568480848 710601060 947468080 1136961696 1421202120 1894936160 2842404240 5684808480