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7066530000 = 24325478517
BaseRepresentation
bin1101001010011001…
…01011000011010000
3200020110220220210100
412211030223003100
5103433012430000
63125112132400
7340054341165
oct64514530320
920213826710
107066530000
112aa6965642
121452697100
1388802b1ca
144b071806c
152b55aba00
hex1a532b0d0

7066530000 has 150 divisors (see below), whose sum is σ = 24712990874. Its totient is φ = 1884384000.

The previous prime is 7066529993. The next prime is 7066530019. The reversal of 7066530000 is 356607.

7066530000 is a `hidden beast` number, since 7 + 0 + 6 + 653 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 956293776 + 6110236224 = 30924^2 + 78168^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 50742 + ... + 129258.

Almost surely, 27066530000 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 7066530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356495437).

7066530000 is an abundant number, since it is smaller than the sum of its proper divisors (17646460874).

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

7066530000 is a wasteful number, since it uses less digits than its factorization.

7066530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78551 (or 78527 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 7066530000 is about 84062.6552043177. The cubic root of 7066530000 is about 1918.9724319230.

Adding to 7066530000 its reverse (356607), we get a palindrome (7066886607).

The spelling of 7066530000 in words is "seven billion, sixty-six million, five hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 78517 90000 157034 235551 314068 392585 471102 628136 706653 785170 942204 1177755 1256272 1413306 1570340 1884408 1962925 2355510 2826612 3140680 3533265 3768816 3925850 4711020 5653224 5888775 6281360 7066530 7851700 9422040 9814625 11306448 11777550 14133060 15703400 17666325 18844080 19629250 23555100 28266120 29443875 31406800 35332650 39258500 47110200 49073125 56532240 58887750 70665300 78517000 88331625 94220400 98146250 117775500 141330600 147219375 157034000 176663250 196292500 235551000 282661200 294438750 353326500 392585000 441658125 471102000 588877500 706653000 785170000 883316250 1177755000 1413306000 1766632500 2355510000 3533265000 7066530000