Search a number
-
+
81416069392 = 24723269293401
BaseRepresentation
bin100101111010011000…
…1101010000100010000
321210011000200212000111
41023310301222010100
52313220003210032
6101222500531104
75611365112540
oct1136461520420
9253130625014
1081416069392
113158a280a69
12139420b0a94
1378a661b8b8
143d24c71320
1521b7989c47
hex12f4c6a110

81416069392 has 160 divisors (see below), whose sum is σ = 189932843520. Its totient is φ = 33055334400.

The previous prime is 81416069363. The next prime is 81416069393. The reversal of 81416069392 is 29396061418.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (81416069393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203032392 + ... + 203032792.

It is an arithmetic number, because the mean of its divisors is an integer number (1187080272).

Almost surely, 281416069392 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 81416069392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94966421760).

81416069392 is an abundant number, since it is smaller than the sum of its proper divisors (108516774128).

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

81416069392 is a wasteful number, since it uses less digits than its factorization.

81416069392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 81416069392 in words is "eighty-one billion, four hundred sixteen million, sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 269 293 322 368 401 538 586 644 802 1076 1172 1288 1604 1883 2051 2152 2344 2576 2807 3208 3766 4102 4304 4688 5614 6187 6416 6739 7532 8204 9223 11228 12374 13478 15064 16408 18446 22456 24748 26956 30128 32816 36892 43309 44912 47173 49496 53912 64561 73784 78817 86618 94346 98992 107824 107869 117493 129122 147568 157634 173236 188692 215738 234986 258244 315268 346472 377384 431476 469972 516488 551719 630536 692944 754768 755083 822451 862952 939944 1032976 1103438 1261072 1510166 1644902 1725904 1812791 1879888 2206876 2480987 2702339 3020332 3289804 3625582 4413752 4961974 5404678 6040664 6579608 7251164 8827504 9923948 10809356 12081328 12689537 13159216 14502328 17366909 18916373 19847896 21618712 25379074 29004656 31605617 34733818 37832746 39695792 43237424 50758148 63211234 69467636 75665492 101516296 126422468 138935272 151330984 203032592 221239319 252844936 277870544 302661968 442478638 505689872 726929191 884957276 1453858382 1769914552 2907716764 3539829104 5088504337 5815433528 10177008674 11630867056 20354017348 40708034696 81416069392