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409787980245 = 32572185844889
BaseRepresentation
bin1011111011010010100…
…01000101100111010101
31110011201211101021200200
411331221101011213111
523203221210331440
6512130510331113
741414633234400
oct5755121054725
91404654337620
10409787980245
111488766a4876
12675051b9a99
132c848423527
1415b960d4d37
15a9d5d75c30
hex5f694459d5

409787980245 has 36 divisors (see below), whose sum is σ = 826266380940. Its totient is φ = 187331647104.

The previous prime is 409787980243. The next prime is 409787980291. The reversal of 409787980245 is 542089787904.

It can be written as a sum of positive squares in 2 ways, for example, as 63525169764 + 346262810481 = 252042^2 + 588441^2 .

It is not a de Polignac number, because 409787980245 - 21 = 409787980243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409787980243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92920240 + ... + 92924649.

It is an arithmetic number, because the mean of its divisors is an integer number (22951843915).

Almost surely, 2409787980245 is an apocalyptic number.

409787980245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409787980245 is an abundant number, since it is smaller than the sum of its proper divisors (416478400695).

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

409787980245 is a wasteful number, since it uses less digits than its factorization.

409787980245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185844914 (or 185844904 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 409787980245 in words is "four hundred nine billion, seven hundred eighty-seven million, nine hundred eighty thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 185844889 557534667 929224445 1300914223 1672604001 2787673335 3902742669 6504571115 8363020005 9106399561 11708228007 19513713345 27319198683 45531997805 58541140035 81957596049 136595993415 409787980245