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9148731201 = 32318832
BaseRepresentation
bin10001000010100111…
…01000111101000001
3212121120221200212100
420201103220331001
5122214033344301
64111453021013
7442466634501
oct104123507501
925546850770
109148731201
113975247185
121933a84769
13b2a52681c
1462b08da01
153882aa286
hex2214e8f41

9148731201 has 9 divisors (see below), whose sum is σ = 13215248449. Its totient is φ = 6098962836.

The previous prime is 9148731187. The next prime is 9148731223. The reversal of 9148731201 is 1021378419.

It is a happy number.

The square root of 9148731201 is 95649.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9148731201 - 211 = 9148729153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9148731281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 271006 + ... + 302888.

Almost surely, 29148731201 is an apocalyptic number.

9148731201 is the 95649-th square number.

9148731201 is the 47825-th centered octagonal number.

It is an amenable number.

9148731201 is a deficient number, since it is larger than the sum of its proper divisors (4066517248).

9148731201 is an frugal number, since it uses more digits than its factorization.

9148731201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63772 (or 31886 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 9148731201 is about 2091.4795503992.

Multiplying 9148731201 by its sum of digits (36), we get a square (329354323236 = 5738942).

The spelling of 9148731201 in words is "nine billion, one hundred forty-eight million, seven hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 31883 95649 286947 1016525689 3049577067 9148731201