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2153975975449 = 919215972
BaseRepresentation
bin11111010110000010111…
…110010000111000011001
321121220210021210211210121
4133112002332100320121
5240242320322203244
64325304540313241
7311422350462334
oct37260276207031
97556707724717
102153975975449
11760550314161
122a9556242821
1312817177300c
14763782dd61b
153b06ab88c84
hex1f582f90e19

2153975975449 has 9 divisors (see below), whose sum is σ = 2157673430367. Its totient is φ = 2150284853304.

The previous prime is 2153975975399. The next prime is 2153975975453. The reversal of 2153975975449 is 9445795793512.

The square root of 2153975975449 is 1467643.

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., 431760697225 + 1722215278224 = 657085^2 + 1312332^2 .

It is not a de Polignac number, because 2153975975449 - 213 = 2153975967257 is a prime.

It is a super-2 number, since 2×21539759754492 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2153975915449) 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, 1348763119 + ... + 1348764715.

It is an arithmetic number, because the mean of its divisors is an integer number (239741492263).

Almost surely, 22153975975449 is an apocalyptic number.

2153975975449 is the 1467643-rd square number.

2153975975449 is the 733822-nd centered octagonal number.

It is an amenable number.

2153975975449 is a deficient number, since it is larger than the sum of its proper divisors (3697454918).

2153975975449 is an frugal number, since it uses more digits than its factorization.

2153975975449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 2516 counting only the distinct ones).

The product of its digits is 428652000, while the sum is 70.

The spelling of 2153975975449 in words is "two trillion, one hundred fifty-three billion, nine hundred seventy-five million, nine hundred seventy-five thousand, four hundred forty-nine".

Divisors: 1 919 1597 844561 1467643 2550409 1348763917 2343825871 2153975975449