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81925427376 = 24331330014861
BaseRepresentation
bin100110001001100100…
…0101101000010110000
321211110112010220211000
41030103020231002300
52320240402134001
6101345214122000
75630121433332
oct1142310550260
9254415126730
1081925427376
113182084a181
1213a647b0300
137957ccc260
143d72781452
1521e7550a86
hex131322d0b0

81925427376 has 160 divisors (see below), whose sum is σ = 253381768640. Its totient is φ = 25194240000.

The previous prime is 81925427341. The next prime is 81925427377. The reversal of 81925427376 is 67372452918.

It is a happy number.

81925427376 is a `hidden beast` number, since 8 + 1 + 92 + 542 + 7 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (81925427377) 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, 16851186 + ... + 16856046.

It is an arithmetic number, because the mean of its divisors is an integer number (1583636054).

Almost surely, 281925427376 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 81925427376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690884320).

81925427376 is an abundant number, since it is smaller than the sum of its proper divisors (171456341264).

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

81925427376 is a wasteful number, since it uses less digits than its factorization.

81925427376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892 (or 7880 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

It can be divided in two parts, 8192542 and 7376, that added together give a palindrome (8199918).

The spelling of 81925427376 in words is "eighty-one billion, nine hundred twenty-five million, four hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 3001 4861 5616 6002 9003 9722 12004 14583 18006 19444 24008 27009 29166 36012 38888 39013 43749 48016 54018 58332 63193 72024 77776 78026 81027 87498 108036 116664 117039 126386 131247 144048 156052 162054 174996 189579 216072 233328 234078 252772 262494 312104 324108 349992 351117 379158 432144 468156 505544 524988 568737 624208 648216 699984 702234 758316 936312 1011088 1049976 1053351 1137474 1296432 1404468 1516632 1706211 1872624 2099952 2106702 2274948 2808936 3033264 3412422 4213404 4549896 5617872 6824844 8426808 9099792 13649688 14587861 16853616 27299376 29175722 43763583 58351444 87527166 116702888 131290749 175054332 189642193 233405776 262581498 350108664 379284386 393872247 525162996 568926579 700217328 758568772 787744494 1050325992 1137853158 1517137544 1575488988 1706779737 2100651984 2275706316 3034275088 3150977976 3413559474 4551412632 5120339211 6301955952 6827118948 9102825264 10240678422 13654237896 20481356844 27308475792 40962713688 81925427376