Search a number
-
+
816054225800 = 235211258072
BaseRepresentation
bin10111110000000001001…
…11110100101110001000
32220000101012222220121012
423320000213310232020
5101332234340211200
61422520134103052
7112646404320032
oct13700047645610
92800335886535
10816054225800
112950a5377200
121121a6aaaa88
135bc5203a578
142b6d65b0c52
1516362949a35
hexbe009f4b88

816054225800 has 108 divisors (see below), whose sum is σ = 2085849840165. Its totient is φ = 296695889600.

The previous prime is 816054225797. The next prime is 816054225859. The reversal of 816054225800 is 8522450618.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 799733141284 + 16321084516 = 894278^2 + 127754^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=638770.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140526497 + ... + 140532303.

Almost surely, 2816054225800 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 816054225800

816054225800 is an abundant number, since it is smaller than the sum of its proper divisors (1269795614365).

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

816054225800 is an equidigital number, since it uses as much as digits as its factorization.

816054225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11652 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 816054225800 in words is "eight hundred sixteen billion, fifty-four million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 5807 6050 11614 12100 23228 24200 29035 46456 58070 63877 116140 127754 145175 232280 255508 290350 319385 511016 580700 638770 702647 1161400 1277540 1405294 1596925 2555080 2810588 3193850 3513235 5621176 6387700 7026470 12775400 14052940 17566175 28105880 33721249 35132350 67442498 70264700 134884996 140529400 168606245 269769992 337212490 370933739 674424980 741867478 843031225 1348849960 1483734956 1686062450 1854668695 2967469912 3372124900 3709337390 4080271129 6744249800 7418674780 8160542258 9273343475 14837349560 16321084516 18546686950 20401355645 32642169032 37093373900 40802711290 74186747800 81605422580 102006778225 163210845160 204013556450 408027112900 816054225800