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81434515095360 = 2633577271852091
BaseRepresentation
bin10010100001000001110011…
…010110000011111101000000
3101200100001201101002022221000
4102201001303112003331000
541133210341331022420
6445110255541332000
723103310125210510
oct2241016326037500
9350301641068830
1081434515095360
1123a47202861429
12917267a407000
13365931b39182b
141617647123840
15963472c93690
hex4a1073583f40

81434515095360 has 448 divisors, whose sum is σ = 328775074467840. Its totient is φ = 18587990108160.

The previous prime is 81434515095359. The next prime is 81434515095391. The reversal of 81434515095360 is 6359051543418.

81434515095360 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 4 + 51 + 50 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 81434515095297 and 81434515095306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43042915 + ... + 44895005.

It is an arithmetic number, because the mean of its divisors is an integer number (733872934080).

Almost surely, 281434515095360 is an apocalyptic number.

81434515095360 is a gapful number since it is divisible by the number (80) 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 81434515095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164387537233920).

81434515095360 is an abundant number, since it is smaller than the sum of its proper divisors (247340559372480).

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

81434515095360 is a wasteful number, since it uses less digits than its factorization.

81434515095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852851 (or 1852835 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 81434515095360 in words is "eighty-one trillion, four hundred thirty-four billion, five hundred fifteen million, ninety-five thousand, three hundred sixty".