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461572213162242 = 237131955934322089
BaseRepresentation
bin110100011110011000010011…
…1110011011100000100000010
32020112021212120011002111120010
41220330300213303130010002
5440444344343032142432
64313403203013525350
7166136330505305250
oct15074604763340402
92215255504074503
10461572213162242
11124086749192766
1243927954343856
1316a720c4319830
1481da3001295d0
153856844b083cc
hex1a3cc27cdc102

461572213162242 has 64 divisors (see below), whose sum is σ = 1136183827242240. Its totient is φ = 121732680397824.

The previous prime is 461572213162223. The next prime is 461572213162309. The reversal of 461572213162242 is 242261312275164.

It is a junction number, because it is equal to n+sod(n) for n = 461572213162191 and 461572213162200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104632734 + ... + 108954822.

It is an arithmetic number, because the mean of its divisors is an integer number (17752872300660).

Almost surely, 2461572213162242 is an apocalyptic number.

461572213162242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

461572213162242 is an abundant number, since it is smaller than the sum of its proper divisors (674611614079998).

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

461572213162242 is a wasteful number, since it uses less digits than its factorization.

461572213162242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517707.

The product of its digits is 1935360, while the sum is 48.

The spelling of 461572213162242 in words is "four hundred sixty-one trillion, five hundred seventy-two billion, two hundred thirteen million, one hundred sixty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 195593 391186 586779 1173558 1369151 2542709 2738302 4107453 4322089 5085418 7628127 8214906 8644178 12966267 15256254 17798963 25932534 30254623 35597926 53396889 56187157 60509246 90763869 106793778 112374314 168561471 181527738 337122942 393310099 786620198 1179930297 2359860594 845370353777 1690740707554 2536111061331 5072222122662 5917592476439 10989814599101 11835184952878 17752777429317 21979629198202 32969443797303 35505554858634 65938887594606 76928702193707 153857404387414 230786106581121 461572213162242