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81225223416 = 2334125347567
BaseRepresentation
bin100101110100101100…
…1101000110011111000
321202122201120212120000
41023221121220303320
52312322124122131
6101151522233000
75603560002351
oct1135131506370
9252581525500
1081225223416
11314a1580617
12138aa1b5760
137875c1b09c
143d07792d28
1521a5d3cce6
hex12e9668cf8

81225223416 has 40 divisors (see below), whose sum is σ = 227505835920. Its totient is φ = 27075074256.

The previous prime is 81225223411. The next prime is 81225223481. The reversal of 81225223416 is 61432252218.

81225223416 is a `hidden beast` number, since 8 + 12 + 2 + 5 + 223 + 416 = 666.

It is a super-2 number, since 2×812252234162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81225223411) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 62673136 + ... + 62674431.

It is an arithmetic number, because the mean of its divisors is an integer number (5687645898).

Almost surely, 281225223416 is an apocalyptic number.

It is an amenable number.

81225223416 is an abundant number, since it is smaller than the sum of its proper divisors (146280612504).

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

81225223416 is a wasteful number, since it uses less digits than its factorization.

81225223416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125347585 (or 125347572 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 81225223416 in words is "eighty-one billion, two hundred twenty-five million, two hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 125347567 250695134 376042701 501390268 752085402 1002780536 1128128103 1504170804 2256256206 3008341608 3384384309 4512512412 6768768618 9025024824 10153152927 13537537236 20306305854 27075074472 40612611708 81225223416