Search a number
-
+
81810071360 = 2653173311251
BaseRepresentation
bin100110000110001000…
…0101001111101000000
321211011111002020002222
41030030100221331000
52320021334240420
6101325533430212
75624221063403
oct1141420517500
9254144066088
1081810071360
113177171a526
1213a3203b368
13793a140064
143d61313d3a
1521dc366225
hex130c429f40

81810071360 has 112 divisors (see below), whose sum is σ = 201386675712. Its totient is φ = 31622400000.

The previous prime is 81810071327. The next prime is 81810071377. The reversal of 81810071360 is 6317001818.

It is a self number, because there is not a number n which added to its sum of digits gives 81810071360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7265735 + ... + 7276985.

Almost surely, 281810071360 is an apocalyptic number.

81810071360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81810071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100693337856).

81810071360 is an abundant number, since it is smaller than the sum of its proper divisors (119576604352).

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

81810071360 is a wasteful number, since it uses less digits than its factorization.

81810071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032 (or 12022 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 81810071360 in words is "eighty-one billion, eight hundred ten million, seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 733 992 1240 1466 1984 2480 2932 3665 4960 5864 7330 9920 11251 11728 14660 22502 22723 23456 29320 45004 45446 46912 56255 58640 90008 90892 112510 113615 117280 180016 181784 225020 227230 234560 348781 360032 363568 450040 454460 697562 720064 727136 900080 908920 1395124 1454272 1743905 1800160 1817840 2790248 3487810 3600320 3635680 5580496 6975620 7271360 8246983 11160992 13951240 16493966 22321984 27902480 32987932 41234915 55804960 65975864 82469830 111609920 131951728 164939660 255656473 263903456 329879320 511312946 527806912 659758640 1022625892 1278282365 1319517280 2045251784 2556564730 2639034560 4090503568 5113129460 8181007136 10226258920 16362014272 20452517840 40905035680 81810071360