Search a number
-
+
81681188148 = 22327439738341
BaseRepresentation
bin100110000010010010…
…1000000010100110100
321210211111120021120200
41030010211000110310
52314240341010043
6101305051200500
75621064433530
oct1140445002464
9253744507520
1081681188148
11317059a067a
12139b6a46130
1379195259c1
143d4c164bc0
1521d0da87d3
hex1304940534

81681188148 has 72 divisors (see below), whose sum is σ = 236505709440. Its totient is φ = 23284290240.

The previous prime is 81681188143. The next prime is 81681188177. The reversal of 81681188148 is 84188118618.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 81681188094 and 81681188103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81681188143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258543 + ... + 479798.

It is an arithmetic number, because the mean of its divisors is an integer number (3284801520).

Almost surely, 281681188148 is an apocalyptic number.

It is an amenable number.

81681188148 is an abundant number, since it is smaller than the sum of its proper divisors (154824521292).

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

81681188148 is a wasteful number, since it uses less digits than its factorization.

81681188148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738797 (or 738792 counting only the distinct ones).

The product of its digits is 786432, while the sum is 54.

The spelling of 81681188148 in words is "eighty-one billion, six hundred eighty-one million, one hundred eighty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 439 878 1317 1756 2634 3073 3951 5268 6146 7902 9219 12292 15804 18438 27657 36876 55314 110628 738341 1476682 2215023 2953364 4430046 5168387 6645069 8860092 10336774 13290138 15505161 20673548 26580276 31010322 46515483 62020644 93030966 186061932 324131699 648263398 972395097 1296526796 1944790194 2268921893 2917185291 3889580388 4537843786 5834370582 6806765679 9075687572 11668741164 13613531358 20420297037 27227062716 40840594074 81681188148