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21423465845401 = 972477172
BaseRepresentation
bin1001101111100000010100…
…00100100101001010011001
32210212001201011120202110211
410313300022010211022121
510302000224224023101
6113321445423211121
74340536312044244
oct467601204451231
983761634522424
1021423465845401
11690a705a63294
1224a0017446aa1
13bc52bb633b19
14540c8917a25b
15272418173c51
hex137c0a125299

21423465845401 has 9 divisors (see below), whose sum is σ = 21647056885149. Its totient is φ = 21202161032064.

The previous prime is 21423465845371. The next prime is 21423465845407. The reversal of 21423465845401 is 10454856432412.

The square root of 21423465845401 is 4628549.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1624347701001 + 19799118144400 = 1274499^2 + 4449620^2 .

It is not a de Polignac number, because 21423465845401 - 219 = 21423465321113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21423465845407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 448945395 + ... + 448993111.

Almost surely, 221423465845401 is an apocalyptic number.

21423465845401 is the 4628549-th square number.

21423465845401 is the 2314275-th centered octagonal number.

It is an amenable number.

21423465845401 is a deficient number, since it is larger than the sum of its proper divisors (223591039748).

21423465845401 is an frugal number, since it uses more digits than its factorization.

21423465845401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95628 (or 47814 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 49.

The spelling of 21423465845401 in words is "twenty-one trillion, four hundred twenty-three billion, four hundred sixty-five million, eight hundred forty-five thousand, four hundred one".

Divisors: 1 97 9409 47717 4628549 448969253 2276912089 220860472633 21423465845401