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405696490241 = 7259210921821
BaseRepresentation
bin1011110011101010110…
…01010010101100000001
31102210011200112001112212
411321311121102230001
523121331300141431
6510212511431505
741211352161200
oct5716531225401
91383150461485
10405696490241
11147067101879
1266762b25595
132c34587a923
14158c8967237
15a846a7c72b
hex5e75652b01

405696490241 has 36 divisors (see below), whose sum is σ = 484493571540. Its totient is φ = 338694229440.

The previous prime is 405696490229. The next prime is 405696490247. The reversal of 405696490241 is 142094696504.

It can be written as a sum of positive squares in 2 ways, for example, as 262266894400 + 143429595841 = 512120^2 + 378721^2 .

It is not a de Polignac number, because 405696490241 - 238 = 130818583297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405696490241.

It is not an unprimeable number, because it can be changed into a prime (405696490247) 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 35 ways as a sum of consecutive naturals, for example, 18581111 + ... + 18602931.

It is an arithmetic number, because the mean of its divisors is an integer number (13458154765).

Almost surely, 2405696490241 is an apocalyptic number.

It is an amenable number.

405696490241 is a deficient number, since it is larger than the sum of its proper divisors (78797081299).

405696490241 is a wasteful number, since it uses less digits than its factorization.

405696490241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22062 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 405696490241 in words is "four hundred five billion, six hundred ninety-six million, four hundred ninety thousand, two hundred forty-one".

Divisors: 1 7 49 59 109 413 763 2891 3481 5341 6431 21821 24367 45017 152747 170569 315119 379429 1069229 1287439 2378489 2656003 9012073 16649423 18592021 63084511 75958901 116545961 140330851 531712307 982315957 3721986149 6876211699 8279520209 57956641463 405696490241