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13654156201 = 72166932
BaseRepresentation
bin11001011011101100…
…11110001110101001
31022020120201000001221
430231312132032221
5210430430444301
610134515542041
7662235261400
oct145566361651
938216630057
1013654156201
115877462714
1227908ba921
131397a7c68a
149375ac637
1554dabada1
hex32dd9e3a9

13654156201 has 9 divisors (see below), whose sum is σ = 15884357751. Its totient is φ = 11702861352.

The previous prime is 13654156193. The next prime is 13654156223. The reversal of 13654156201 is 10265145631.

The square root of 13654156201 is 116851.

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., 1003305625 + 12650850576 = 31675^2 + 112476^2 .

It is not a de Polignac number, because 13654156201 - 23 = 13654156193 is a prime.

It is a super-2 number, since 2×136541562012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13654156001) 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, 809611 + ... + 826303.

It is an arithmetic number, because the mean of its divisors is an integer number (1764928639).

Almost surely, 213654156201 is an apocalyptic number.

13654156201 is the 116851-st square number.

13654156201 is the 58426-th centered octagonal number.

It is an amenable number.

13654156201 is a deficient number, since it is larger than the sum of its proper divisors (2230201550).

13654156201 is an frugal number, since it uses more digits than its factorization.

13654156201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33400 (or 16700 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 13654156201 in words is "thirteen billion, six hundred fifty-four million, one hundred fifty-six thousand, two hundred one".

Divisors: 1 7 49 16693 116851 817957 278656249 1950593743 13654156201