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920117009421 = 32366532789273
BaseRepresentation
bin11010110001110110011…
…11110101110000001101
310020221222112111001020100
431120323033311300031
5110033344423300141
61542410152441313
7123322233351531
oct15307317656015
93227875431210
10920117009421
11325246078815
1212a3a93a9239
13689c748168c
1432769049bc1
1518e036ac0b6
hexd63b3f5c0d

920117009421 has 12 divisors (see below), whose sum is σ = 1329094639548. Its totient is φ = 613394384064.

The previous prime is 920117009407. The next prime is 920117009459. The reversal of 920117009421 is 124900711029.

It can be written as a sum of positive squares in 2 ways, for example, as 120505485321 + 799611524100 = 347139^2 + 894210^2 .

It is not a de Polignac number, because 920117009421 - 211 = 920117007373 is a prime.

It is a super-3 number, since 3×9201170094213 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920117049421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1064760 + ... + 1724513.

It is an arithmetic number, because the mean of its divisors is an integer number (110757886629).

Almost surely, 2920117009421 is an apocalyptic number.

It is an amenable number.

920117009421 is a deficient number, since it is larger than the sum of its proper divisors (408977630127).

920117009421 is a wasteful number, since it uses less digits than its factorization.

920117009421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825932 (or 2825929 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 920117009421 in words is "nine hundred twenty billion, one hundred seventeen million, nine thousand, four hundred twenty-one".

Divisors: 1 3 9 36653 109959 329877 2789273 8367819 25103457 102235223269 306705669807 920117009421