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2320842011761 = 72132167412
BaseRepresentation
bin100001110001011100111…
…101101011010001110001
322012212111110200202221201
4201301130331223101301
5301011041023334021
64534102522451201
7326450425415200
oct41613475532161
98185443622851
102320842011761
118152998a1a99
12315965363b01
1313ab1533cc00
1480487a5b237
15405852cc591
hex21c5cf6b471

2320842011761 has 27 divisors (see below), whose sum is σ = 2923577971713. Its totient is φ = 1836160915680.

The previous prime is 2320842011731. The next prime is 2320842011791. The reversal of 2320842011761 is 1671102480232.

The square root of 2320842011761 is 1523431.

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

It is an interprime number because it is at equal distance from previous prime (2320842011731) and next prime (2320842011791).

It can be written as a sum of positive squares in 4 ways, for example, as 131199706225 + 2189642305536 = 362215^2 + 1479744^2 .

It is not a de Polignac number, because 2320842011761 - 29 = 2320842011249 is a prime.

It is a super-2 number, since 2×23208420117612 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2320842011761.

It is not an unprimeable number, because it can be changed into a prime (2320842011701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138623851 + ... + 138640591.

It is an arithmetic number, because the mean of its divisors is an integer number (108280665619).

Almost surely, 22320842011761 is an apocalyptic number.

2320842011761 is the 1523431-st square number.

2320842011761 is the 761716-th centered octagonal number.

It is an amenable number.

2320842011761 is a deficient number, since it is larger than the sum of its proper divisors (602735959952).

2320842011761 is an frugal number, since it uses more digits than its factorization.

2320842011761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33522 (or 16761 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

Adding to 2320842011761 its reverse (1671102480232), we get a palindrome (3991944491993).

The spelling of 2320842011761 in words is "two trillion, three hundred twenty billion, eight hundred forty-two million, eleven thousand, seven hundred sixty-one".

Divisors: 1 7 13 49 91 169 637 1183 8281 16741 117187 217633 820309 1523431 2829229 10664017 19804603 138632221 280261081 1961827567 3643394053 13732792969 25503758371 47364122689 178526308597 331548858823 2320842011761