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7030516896 = 2532136728027
BaseRepresentation
bin1101000110000110…
…10010110010100000
3200010222011021002200
412203003102302200
5103344303020041
63121344213200
7336136256544
oct64303226240
920128137080
107030516896
112a885a8447
12144260a200
1388072c290
144a9a21a24
152b23461b6
hex1a30d2ca0

7030516896 has 144 divisors (see below), whose sum is σ = 21853095264. Its totient is φ = 2130872832.

The previous prime is 7030516859. The next prime is 7030516931. The reversal of 7030516896 is 6986150307.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236835 + ... + 264861.

It is an arithmetic number, because the mean of its divisors is an integer number (151757606).

Almost surely, 27030516896 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 7030516896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926547632).

7030516896 is an abundant number, since it is smaller than the sum of its proper divisors (14822578368).

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

7030516896 is a wasteful number, since it uses less digits than its factorization.

7030516896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28123 (or 28112 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7030516896 is about 83848.1776546157. The cubic root of 7030516896 is about 1915.7069968019.

The spelling of 7030516896 in words is "seven billion, thirty million, five hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 468 536 603 624 804 871 936 1072 1206 1248 1608 1742 1872 2144 2412 2613 3216 3484 3744 4824 5226 6432 6968 7839 9648 10452 13936 15678 19296 20904 27872 28027 31356 41808 56054 62712 83616 84081 112108 125424 168162 224216 250848 252243 336324 364351 448432 504486 672648 728702 896864 1008972 1093053 1345296 1457404 1877809 2017944 2186106 2690592 2914808 3279159 3755618 4035888 4372212 5633427 5829616 6558318 7511236 8071776 8744424 11266854 11659232 13116636 15022472 16900281 17488848 22533708 24411517 26233272 30044944 33800562 34977696 45067416 48823034 52466544 60089888 67601124 73234551 90134832 97646068 104933088 135202248 146469102 180269664 195292136 219703653 270404496 292938204 390584272 439407306 540808992 585876408 781168544 878814612 1171752816 1757629224 2343505632 3515258448 7030516896