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81023877792 = 253211134434441
BaseRepresentation
bin100101101110101100…
…1100100001010100000
321202010200201110021200
41023131121210022200
52311414103042132
6101115530521200
75565563412024
oct1133531441240
9252120643250
1081023877792
11313a8959680
1213852896200
1378432b2470
143cc8b40384
152193319d7c
hex12dd6642a0

81023877792 has 288 divisors, whose sum is σ = 271365546816. Its totient is φ = 22607769600.

The previous prime is 81023877749. The next prime is 81023877811. The reversal of 81023877792 is 29777832018.

81023877792 is a `hidden beast` number, since 8 + 102 + 387 + 77 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×810238777923 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18242292 + ... + 18246732.

It is an arithmetic number, because the mean of its divisors is an integer number (942241482).

Almost surely, 281023877792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81023877792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135682773408).

81023877792 is an abundant number, since it is smaller than the sum of its proper divisors (190341669024).

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

81023877792 is a wasteful number, since it uses less digits than its factorization.

81023877792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 81023877792 in words is "eighty-one billion, twenty-three million, eight hundred seventy-seven thousand, seven hundred ninety-two".