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217469848040 = 23553102580117
BaseRepresentation
bin1100101010001000110…
…1101000100111101000
3202210022211212220202022
43022202031220213220
512030334240114130
6243523153324012
721466051131404
oct3124215504750
9683284786668
10217469848040
1184257072645
1236192266608
131767976b473
14a750348104
1559cc00a7e5
hex32a23689e8

217469848040 has 32 divisors (see below), whose sum is σ = 498539373480. Its totient is φ = 85346656512.

The previous prime is 217469848031. The next prime is 217469848049. The reversal of 217469848040 is 40848964712.

It is an interprime number because it is at equal distance from previous prime (217469848031) and next prime (217469848049).

It can be written as a sum of positive squares in 4 ways, for example, as 189004084516 + 28465763524 = 434746^2 + 168718^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (217469848049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51287939 + ... + 51292178.

Almost surely, 2217469848040 is an apocalyptic number.

217469848040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217469848040 is an abundant number, since it is smaller than the sum of its proper divisors (281069525440).

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

217469848040 is a wasteful number, since it uses less digits than its factorization.

217469848040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102580181 (or 102580177 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 217469848040 in words is "two hundred seventeen billion, four hundred sixty-nine million, eight hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 102580117 205160234 410320468 512900585 820640936 1025801170 2051602340 4103204680 5436746201 10873492402 21746984804 27183731005 43493969608 54367462010 108734924020 217469848040