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9149723572201 = 809237392
BaseRepresentation
bin1000010100100101011000…
…0001011111011111101001
31012101201000222010100120021
42011021112001133133221
52144402113213302301
631243154110200441
71633021452064462
oct205112601373751
935351028110507
109149723572201
112a08415472a53
12103933bab3121
13514a7a0a56b4
14238bc587bd69
1510d012da68a1
hex8525605f7e9

9149723572201 has 9 divisors (see below), whose sum is σ = 9163498258551. Its totient is φ = 9135969574704.

The previous prime is 9149723572189. The next prime is 9149723572219. The reversal of 9149723572201 is 1022753279419.

The square root of 9149723572201 is 3024851.

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

9149723572201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8053682085801 + 1096041486400 = 2837901^2 + 1046920^2 .

It is not a de Polignac number, because 9149723572201 - 223 = 9149715183593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9149723572291) 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, 2447102590 + ... + 2447106328.

Almost surely, 29149723572201 is an apocalyptic number.

9149723572201 is the 3024851-st square number.

9149723572201 is the 1512426-th centered octagonal number.

It is an amenable number.

9149723572201 is a deficient number, since it is larger than the sum of its proper divisors (13774686350).

9149723572201 is an frugal number, since it uses more digits than its factorization.

9149723572201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9096 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

It can be divided in two parts, 9149723 and 572201, that added together give a square (9721924 = 31182).

The spelling of 9149723572201 in words is "nine trillion, one hundred forty-nine billion, seven hundred twenty-three million, five hundred seventy-two thousand, two hundred one".

Divisors: 1 809 3739 654481 3024851 13980121 2447104459 11309917889 9149723572201