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81294920172 = 22322544788741
BaseRepresentation
bin100101110110110001…
…1100000100111101100
321202211120201211112100
41023231203200213230
52312442444421142
6101202452135100
75605364264034
oct1135543404754
9252746654470
1081294920172
1131527954844
1213909607490
1378874b187b
143d12b368c4
1521ac008b4c
hex12ed8e09ec

81294920172 has 36 divisors (see below), whose sum is σ = 205505883856. Its totient is φ = 27096936480.

The previous prime is 81294920153. The next prime is 81294920297. The reversal of 81294920172 is 27102949218.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×812949201724 (a number of 45 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 871722 + ... + 960462.

Almost surely, 281294920172 is an apocalyptic number.

It is an amenable number.

81294920172 is an abundant number, since it is smaller than the sum of its proper divisors (124210963684).

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

81294920172 is a wasteful number, since it uses less digits than its factorization.

81294920172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114198 (or 114193 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 81294920172 in words is "eighty-one billion, two hundred ninety-four million, nine hundred twenty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 25447 50894 76341 88741 101788 152682 177482 229023 266223 305364 354964 458046 532446 798669 916092 1064892 1597338 3194676 2258192227 4516384454 6774576681 9032768908 13549153362 20323730043 27098306724 40647460086 81294920172