Search a number
-
+
706472189361 = 3461215312
BaseRepresentation
bin10100100011111010000…
…01100001110110110001
32111112112021001200110000
422101331001201312301
543033323340024421
61300314314500213
7102020016346161
oct12217501416661
92445467050400
10706472189361
11252682151324
12b4b04134669
135180a3014a3
142629cb0a5a1
151359c3b3226
hexa47d061db1

706472189361 has 45 divisors (see below), whose sum is σ = 1073633002299. Its totient is φ = 462957865200.

The previous prime is 706472189321. The next prime is 706472189363. The reversal of 706472189361 is 163981274607.

The square root of 706472189361 is 840519.

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

706472189361 is a `hidden beast` number, since 7 + 0 + 64 + 7 + 218 + 9 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22973161761 + 683499027600 = 151569^2 + 826740^2 .

It is not a de Polignac number, because 706472189361 - 229 = 705935318449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 706472189298 and 706472189307.

It is not an unprimeable number, because it can be changed into a prime (706472189363) 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 44 ways as a sum of consecutive naturals, for example, 461444166 + ... + 461445696.

Almost surely, 2706472189361 is an apocalyptic number.

706472189361 is the 840519-th square number.

706472189361 is the 420260-th centered octagonal number.

It is an amenable number.

706472189361 is a deficient number, since it is larger than the sum of its proper divisors (367160812938).

706472189361 is an frugal number, since it uses more digits than its factorization.

706472189361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 706472189361 in words is "seven hundred six billion, four hundred seventy-two million, one hundred eighty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 27 61 81 183 549 1531 1647 3721 4593 4941 11163 13779 33489 41337 93391 100467 124011 280173 301401 840519 2343961 2521557 5696851 7031883 7564671 17090553 21095649 51271659 63286947 142981621 153814977 189860841 428944863 461444931 1286834589 3860503767 8721878881 11581511301 26165636643 78496909929 235490729787 706472189361