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81152056384 = 267250872
BaseRepresentation
bin100101110010100001…
…0100001110001000000
321202110121220121020221
41023211002201301000
52312144411301014
6101140350112424
75602011045400
oct1134502416100
9252417817227
1081152056384
11314642470a3
12138897ab714
137863a10b99
143cdbb88800
15219e6d8b24
hex12e50a1c40

81152056384 has 63 divisors (see below), whose sum is σ = 187364554023. Its totient is φ = 34772615808.

The previous prime is 81152056369. The next prime is 81152056439. The reversal of 81152056384 is 48365025118.

The square root of 81152056384 is 284872.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81152056384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15950289 + ... + 15955375.

Almost surely, 281152056384 is an apocalyptic number.

81152056384 is the 284872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81152056384

81152056384 is an abundant number, since it is smaller than the sum of its proper divisors (106212497639).

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

81152056384 is an frugal number, since it uses more digits than its factorization.

81152056384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 81152056384 in words is "eighty-one billion, one hundred fifty-two million, fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 5087 10174 20348 35609 40696 71218 81392 142436 162784 249263 284872 325568 498526 569744 997052 1139488 1994104 2278976 3988208 7976416 15952832 25877569 51755138 103510276 181142983 207020552 362285966 414041104 724571932 828082208 1268000881 1449143864 1656164416 2536001762 2898287728 5072003524 5796575456 10144007048 11593150912 20288014096 40576028192 81152056384