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81994508728 = 2311313955399
BaseRepresentation
bin100110001011101000…
…0001110100110111000
321211122100010121121121
41030113100032212320
52320411043234403
6101400122515024
75631620552566
oct1142720164670
9254570117547
1081994508728
1131856843000
1213a83965a74
1379694088b2
143d7ba04a36
1521ed6493bd
hex131740e9b8

81994508728 has 64 divisors (see below), whose sum is σ = 170321760000. Its totient is φ = 37001432160.

The previous prime is 81994508663. The next prime is 81994508767. The reversal of 81994508728 is 82780549918.

It is a super-3 number, since 3×819945087283 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452373 + ... + 1507771.

It is an arithmetic number, because the mean of its divisors is an integer number (2661277500).

Almost surely, 281994508728 is an apocalyptic number.

81994508728 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 81994508728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85160880000).

81994508728 is an abundant number, since it is smaller than the sum of its proper divisors (88327251272).

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

81994508728 is a wasteful number, since it uses less digits than its factorization.

81994508728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55577 (or 55551 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 61.

The spelling of 81994508728 in words is "eighty-one billion, nine hundred ninety-four million, five hundred eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 139 242 278 484 556 968 1112 1331 1529 2662 3058 5324 6116 10648 12232 16819 33638 55399 67276 110798 134552 185009 221596 370018 443192 609389 740036 1218778 1480072 2437556 4875112 6703279 7700461 13406558 15400922 26813116 30801844 53626232 61603688 73736069 84705071 147472138 169410142 294944276 338820284 589888552 677640568 931755781 1863511562 3727023124 7454046248 10249313591 20498627182 40997254364 81994508728