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81696382704 = 24331931321073
BaseRepresentation
bin100110000010101111…
…0111101111011110000
321210212120011020121000
41030011132331323300
52314303233221304
6101310353002000
75621340536526
oct1140536757360
9253776136530
1081696382704
1131713529562
12139bbb53300
13791c715a71
143d5019c316
1521d23aa939
hex13057bdef0

81696382704 has 160 divisors (see below), whose sum is σ = 254804326400. Its totient is φ = 24966558720.

The previous prime is 81696382619. The next prime is 81696382709. The reversal of 81696382704 is 40728369618.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81696382709) 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, 93912 + ... + 414984.

It is an arithmetic number, because the mean of its divisors is an integer number (1592527040).

Almost surely, 281696382704 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 81696382704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127402163200).

81696382704 is an abundant number, since it is smaller than the sum of its proper divisors (173107943696).

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

81696382704 is a wasteful number, since it uses less digits than its factorization.

81696382704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321140 (or 321128 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 81696382704 in words is "eighty-one billion, six hundred ninety-six million, three hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 228 248 279 304 342 372 432 456 496 513 558 589 684 744 837 912 1026 1116 1178 1368 1488 1674 1767 2052 2232 2356 2736 3348 3534 4104 4464 4712 5301 6696 7068 8208 9424 10602 13392 14136 15903 21204 28272 31806 42408 63612 84816 127224 254448 321073 642146 963219 1284292 1926438 2568584 2889657 3852876 5137168 5779314 6100387 7705752 8668971 9953263 11558628 12200774 15411504 17337942 18301161 19906526 23117256 24401548 29859789 34675884 36602322 39813052 46234512 48803096 54903483 59719578 69351768 73204644 79626104 89579367 97606192 109806966 119439156 138703536 146409288 159252208 164710449 179158734 189111997 219613932 238878312 268738101 292818576 329420898 358317468 378223994 439227864 477756624 537476202 567335991 658841796 716634936 756447988 878455728 1074952404 1134671982 1317683592 1433269872 1512895976 1702007973 2149904808 2269343964 2635367184 3025791952 3404015946 4299809616 4538687928 5106023919 6808031892 9077375856 10212047838 13616063784 20424095676 27232127568 40848191352 81696382704