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618964548049 = 172462792
BaseRepresentation
bin10010000000111010010…
…10010111100111010001
32012011122200222220200201
421000131022113213101
540120114411014144
61152203130215201
762501342564401
oct11003512274721
92164580886621
10618964548049
11219557395201
129bb61b84501
13464a2964583
1421d5ac30801
1511179c531d4
hex901d2979d1

618964548049 has 9 divisors (see below), whose sum is σ = 657530181147. Its totient is φ = 582542280864.

The previous prime is 618964548031. The next prime is 618964548067. The reversal of 618964548049 is 940845469816.

The square root of 618964548049 is 786743.

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 (618964548031) and next prime (618964548067).

It can be written as a sum of positive squares in only one way, i.e., 481892814225 + 137071733824 = 694185^2 + 370232^2 .

It is not a de Polignac number, because 618964548049 - 229 = 618427677137 is a prime.

It is a super-2 number, since 2×6189645480492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (618964548029) 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, 13351492 + ... + 13397770.

Almost surely, 2618964548049 is an apocalyptic number.

618964548049 is the 786743-rd square number.

618964548049 is the 393372-nd centered octagonal number.

It is an amenable number.

618964548049 is a deficient number, since it is larger than the sum of its proper divisors (38565633098).

618964548049 is an frugal number, since it uses more digits than its factorization.

618964548049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92592 (or 46296 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

Multiplying 618964548049 by its sum of digits (64), we get a square (39613731075136 = 62939442).

The spelling of 618964548049 in words is "six hundred eighteen billion, nine hundred sixty-four million, five hundred forty-eight thousand, forty-nine".

Divisors: 1 17 289 46279 786743 13374631 2141745841 36409679297 618964548049