Search a number
-
+
81294739800 = 23352165781769
BaseRepresentation
bin100101110110110001…
…0110100100101011000
321202211120101200002220
41023231202310211120
52312442423133200
6101202444224040
75605362613131
oct1135542644530
9252746350086
1081294739800
113152784127a
121390953b020
13788744a741
143d12acac88
1521abec04a0
hex12ed8b4958

81294739800 has 96 divisors (see below), whose sum is σ = 252168867600. Its totient is φ = 21665249280.

The previous prime is 81294739763. The next prime is 81294739817. The reversal of 81294739800 is 893749218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953316 + ... + 1035084.

Almost surely, 281294739800 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 81294739800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126084433800).

81294739800 is an abundant number, since it is smaller than the sum of its proper divisors (170874127800).

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

81294739800 is a wasteful number, since it uses less digits than its factorization.

81294739800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83445 (or 83436 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 81294739800 in words is "eighty-one billion, two hundred ninety-four million, seven hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1657 3314 4971 6628 8285 9942 13256 16570 19884 24855 33140 39768 41425 49710 66280 81769 82850 99420 124275 163538 165700 198840 245307 248550 327076 331400 408845 490614 497100 654152 817690 981228 994200 1226535 1635380 1962456 2044225 2453070 3270760 4088450 4906140 6132675 8176900 9812280 12265350 16353800 24530700 49061400 135491233 270982466 406473699 541964932 677456165 812947398 1083929864 1354912330 1625894796 2032368495 2709824660 3251789592 3387280825 4064736990 5419649320 6774561650 8129473980 10161842475 13549123300 16258947960 20323684950 27098246600 40647369900 81294739800