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1045610547601 = 797212832
BaseRepresentation
bin11110011011100110011…
…11101100100110010001
310200221220101201022101211
433031303033230212101
5114112402300010401
62120202530500121
7135354130003324
oct17156317544621
93627811638354
101045610547601
11373493993434
1214a790a34641
13777a6829449
1438871c067bb
151c2eaaa7951
hexf3733ec991

1045610547601 has 9 divisors (see below), whose sum is σ = 1047740759611. Its totient is φ = 1043484664072.

The previous prime is 1045610547599. The next prime is 1045610547637. The reversal of 1045610547601 is 1067450165401.

The square root of 1045610547601 is 1022551.

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., 507036564225 + 538573983376 = 712065^2 + 733876^2 .

It is not a de Polignac number, because 1045610547601 - 21 = 1045610547599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1045610547701) 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 8 ways as a sum of consecutive naturals, for example, 814972506 + ... + 814973788.

Almost surely, 21045610547601 is an apocalyptic number.

1045610547601 is the 1022551-st square number.

1045610547601 is the 511276-th centered octagonal number.

It is an amenable number.

1045610547601 is a deficient number, since it is larger than the sum of its proper divisors (2130212010).

1045610547601 is an frugal number, since it uses more digits than its factorization.

1045610547601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1045610547601 in words is "one trillion, forty-five billion, six hundred ten million, five hundred forty-seven thousand, six hundred one".

Divisors: 1 797 1283 635209 1022551 1646089 814973147 1311932933 1045610547601