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80001800010 = 23351129639091
BaseRepresentation
bin100101010000001111…
…0101001011101001010
321122111110111112011000
41022200132221131022
52302320430100020
6100430300115430
75531343036306
oct1124036513512
9248443445130
1080001800010
1130a23a264a0
1213608535b76
13770c615202
143c2d0c6d06
152133727090
hex12a07a974a

80001800010 has 128 divisors (see below), whose sum is σ = 232836664320. Its totient is φ = 19385697600.

The previous prime is 80001799963. The next prime is 80001800071. The reversal of 80001800010 is 1000810008.

It is a happy number.

80001800010 is a nontrivial binomial coefficient, being equal to C(400005, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8795565 + ... + 8804655.

It is an arithmetic number, because the mean of its divisors is an integer number (1819036440).

Almost surely, 280001800010 is an apocalyptic number.

80001800010 is the 400004-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80001800010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116418332160).

80001800010 is an abundant number, since it is smaller than the sum of its proper divisors (152834864310).

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

80001800010 is a wasteful number, since it uses less digits than its factorization.

80001800010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081 (or 12075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 80001800010 in words is "eighty billion, one million, eight hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2963 2970 5926 8889 9091 14815 17778 18182 26667 27273 29630 32593 44445 45455 53334 54546 65186 80001 81819 88890 90910 97779 100001 133335 136365 160002 162965 163638 195558 200002 245457 266670 272730 293337 300003 325930 400005 409095 488895 490914 500005 586674 600006 800010 818190 880011 900009 977790 1000010 1227285 1466685 1500015 1760022 1800018 2454570 2700027 2933370 3000030 4400055 4500045 5400054 8800110 9000090 13500135 26936633 27000270 53873266 80809899 134683165 161619798 242429697 269366330 296302963 404049495 484859394 592605926 727289091 808098990 888908889 1212148485 1454578182 1481514815 1777817778 2424296970 2666726667 2963029630 3636445455 4444544445 5333453334 7272890910 8000180001 8889088890 13333633335 16000360002 26667266670 40000900005 80001800010