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9400901755921 = 132227210392
BaseRepresentation
bin1000100011001101000101…
…1010001110010000010001
31020021201101000012010220121
42020303101122032100101
52213011021322142141
631554414210310241
71660123052320264
oct210632132162021
936251330163817
109400901755921
112aa4999a62055
121079b5ab88381
1353266928aa00
14247012940cdb
1511481434c1d1
hex88cd168e411

9400901755921 has 27 divisors (see below), whose sum is σ = 10234567008891. Its totient is φ = 8631212235984.

The previous prime is 9400901755909. The next prime is 9400901755979. The reversal of 9400901755921 is 1295571090049.

The square root of 9400901755921 is 3066089.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1390665940225 + 8010235815696 = 1179265^2 + 2830236^2 .

It is not a de Polignac number, because 9400901755921 - 243 = 604808733713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9400901755121) 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 26 ways as a sum of consecutive naturals, for example, 9048028120 + ... + 9048029158.

Almost surely, 29400901755921 is an apocalyptic number.

9400901755921 is the 3066089-th square number.

9400901755921 is the 1533045-th centered octagonal number.

It is an amenable number.

9400901755921 is a deficient number, since it is larger than the sum of its proper divisors (833665252970).

9400901755921 is an frugal number, since it uses more digits than its factorization.

9400901755921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 52.

The spelling of 9400901755921 in words is "nine trillion, four hundred billion, nine hundred one million, seven hundred fifty-five thousand, nine hundred twenty-one".

Divisors: 1 13 169 227 1039 2951 13507 38363 51529 175591 235853 669877 1079521 3066089 8708401 14033773 39859157 53538631 182439049 245051267 696002203 3185666471 9048028639 41413664123 55626637609 723146288917 9400901755921