Search a number
-
+
81038147584 = 2221392
BaseRepresentation
bin100101101111001000…
…0000000000000000000
321202011200120102202111
41023132100000000000
52311431231210314
6101121200425104
75566125613642
oct1133620000000
9252150512674
1081038147584
1131405a15799
1213857618194
13784623a624
143cca9b6892
1521946d7ec4
hex12de400000

81038147584 has 69 divisors (see below), whose sum is σ = 163250680827. Its totient is φ = 40227569664.

The previous prime is 81038147579. The next prime is 81038147599. The reversal of 81038147584 is 48574183018.

The square root of 81038147584 is 284672.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 583008187 + ... + 583008325.

Almost surely, 281038147584 is an apocalyptic number.

81038147584 is the 284672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81038147584

81038147584 is an abundant number, since it is smaller than the sum of its proper divisors (82212533243).

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

81038147584 is an frugal number, since it uses more digits than its factorization.

81038147584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

Multiplying 81038147584 by its sum of digits (49), we get a square (3970869231616 = 19927042).

The spelling of 81038147584 in words is "eighty-one billion, thirty-eight million, one hundred forty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1024 1112 2048 2224 4096 4448 8192 8896 16384 17792 19321 32768 35584 38642 65536 71168 77284 131072 142336 154568 262144 284672 309136 524288 569344 618272 1048576 1138688 1236544 2097152 2277376 2473088 4194304 4554752 4946176 9109504 9892352 18219008 19784704 36438016 39569408 72876032 79138816 145752064 158277632 291504128 316555264 583008256 633110528 1266221056 2532442112 5064884224 10129768448 20259536896 40519073792 81038147584