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261283082420 = 225196111271919
BaseRepresentation
bin1111001101010110101…
…1110111000010110100
3220222102021012211102202
43303111223313002310
513240101432114140
6320010511124032
724606560361533
oct3632553670264
9828367184382
10261283082420
11a089a541058
124277b213618
131b83c83cc19
14c90913031a
156be3674915
hex3cd5af70b4

261283082420 has 48 divisors (see below), whose sum is σ = 587041593600. Its totient is φ = 97389371520.

The previous prime is 261283082383. The next prime is 261283082453. The reversal of 261283082420 is 24280382162.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5612780 + ... + 5659139.

It is an arithmetic number, because the mean of its divisors is an integer number (12230033200).

Almost surely, 2261283082420 is an apocalyptic number.

261283082420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261283082420 is an abundant number, since it is smaller than the sum of its proper divisors (325758511180).

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

261283082420 is a wasteful number, since it uses less digits than its factorization.

261283082420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11272008 (or 11272006 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 261283082420 in words is "two hundred sixty-one billion, two hundred eighty-three million, eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1159 1220 2318 4636 5795 11590 23180 11271919 22543838 45087676 56359595 112719190 214166461 225438380 428332922 687587059 856665844 1070832305 1375174118 2141664610 2750348236 3437935295 4283329220 6875870590 13064154121 13751741180 26128308242 52256616484 65320770605 130641541210 261283082420