Search a number
-
+
999887641000 = 235310323072
BaseRepresentation
bin11101000110011011111…
…00101001100110101000
310112120212212222222220121
432203031330221212220
5112340232214003000
62043201514133024
7132145101500533
oct16431574514650
93476785888817
10999887641000
11356060562a16
12141950421174
137339ac18821
1436575559a1a
151b02196eb1a
hexe8cdf299a8

999887641000 has 144 divisors (see below), whose sum is σ = 2370394589940. Its totient is φ = 394781860800.

The previous prime is 999887640977. The next prime is 999887641013. The reversal of 999887641000 is 146788999.

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 675924045316 + 323963595684 = 822146^2 + 569178^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 999887641000.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3256962847 + ... + 3256963153.

Almost surely, 2999887641000 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 999887641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185197294970).

999887641000 is an abundant number, since it is smaller than the sum of its proper divisors (1370506948940).

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

999887641000 is an equidigital number, since it uses as much as digits as its factorization.

999887641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 999887641000 in words is "nine hundred ninety-nine billion, eight hundred eighty-seven million, six hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 307 412 500 515 614 824 1000 1030 1228 1535 2060 2456 2575 3070 4120 5150 6140 7675 10300 10609 12280 12875 15350 20600 21218 25750 30700 31621 38375 42436 51500 53045 61400 63242 76750 84872 94249 103000 106090 126484 153500 158105 188498 212180 252968 265225 307000 316210 376996 424360 471245 530450 632420 753992 790525 942490 1060900 1264840 1326125 1581050 1884980 2121800 2356225 2652250 3162100 3256963 3769960 3952625 4712450 5304500 6324200 6513926 7905250 9424900 9707647 10609000 11781125 13027852 15810500 16284815 18849800 19415294 23562250 26055704 31621000 32569630 38830588 47124500 48538235 65139260 77661176 81424075 94249000 97076470 130278520 162848150 194152940 242691175 325696300 388305880 407120375 485382350 651392600 814240750 970764700 999887641 1213455875 1628481500 1941529400 1999775282 2426911750 3256963000 3999550564 4853823500 4999438205 7999101128 9707647000 9998876410 19997752820 24997191025 39995505640 49994382050 99988764100 124985955125 199977528200 249971910250 499943820500 999887641000