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81017675728 = 24112103541751
BaseRepresentation
bin100101101110100000…
…1111001111111010000
321202010021001100122121
41023131001321333100
52311411011110403
6101115145544024
75565456611143
oct1133501717720
9252107040577
1081017675728
11313a5402a00
12138507a5014
137841c204c2
143cc7da805a
1521929e23bd
hex12dd079fd0

81017675728 has 120 divisors (see below), whose sum is σ = 174768758528. Its totient is φ = 36352800000.

The previous prime is 81017675719. The next prime is 81017675731. The reversal of 81017675728 is 82757671018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107879353 + ... + 107880103.

Almost surely, 281017675728 is an apocalyptic number.

81017675728 is a gapful number since it is divisible by the number (88) 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 81017675728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87384379264).

81017675728 is an abundant number, since it is smaller than the sum of its proper divisors (93751082800).

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

81017675728 is a wasteful number, since it uses less digits than its factorization.

81017675728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 52.

The spelling of 81017675728 in words is "eighty-one billion, seventeen million, six hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 103 121 176 206 242 412 484 541 751 824 968 1082 1133 1502 1648 1936 2164 2266 3004 4328 4532 5951 6008 8261 8656 9064 11902 12016 12463 16522 18128 23804 24926 33044 47608 49852 55723 65461 66088 77353 90871 95216 99704 111446 130922 132176 154706 181742 199408 222892 261844 309412 363484 406291 445784 523688 612953 618824 726968 812582 850883 891568 1047376 1225906 1237648 1453936 1625164 1701766 2451812 3250328 3403532 4469201 4903624 6500656 6742483 6807064 8938402 9359713 9807248 13484966 13614128 17876804 18719426 26969932 35753608 37438852 41847973 49161211 53939864 71507216 74877704 83695946 98322422 107879728 149755408 167391892 196644844 334783784 393289688 460327703 669567568 786579376 920655406 1841310812 3682621624 5063604733 7365243248 10127209466 20254418932 40508837864 81017675728