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44745363961 = 1722325412
BaseRepresentation
bin101001101011000010…
…000001000111111001
311021111101022000002021
4221223002001013321
51213114303121321
632320012234441
73142555214104
oct515302010771
9137441260067
1044745363961
1117a81656241
12880916ba21
1342b123752c
14224690773b
15126d3e0941
hexa6b0811f9

44745363961 has 27 divisors (see below), whose sum is σ = 49780761933. Its totient is φ = 40207812480.

The previous prime is 44745363953. The next prime is 44745363979. The reversal of 44745363961 is 16936354744.

The square root of 44745363961 is 211531.

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 1629333225 + 43116030736 = 40365^2 + 207644^2 .

It is not a de Polignac number, because 44745363961 - 23 = 44745363953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44745363899 and 44745363908.

It is not an unprimeable number, because it can be changed into a prime (44745363931) 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, 82708351 + ... + 82708891.

Almost surely, 244745363961 is an apocalyptic number.

44745363961 is the 211531-st square number.

44745363961 is the 105766-th centered octagonal number.

It is an amenable number.

44745363961 is a deficient number, since it is larger than the sum of its proper divisors (5035397972).

44745363961 is an frugal number, since it uses more digits than its factorization.

44745363961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 52.

The spelling of 44745363961 in words is "forty-four billion, seven hundred forty-five million, three hundred sixty-three thousand, nine hundred sixty-one".

Divisors: 1 17 23 289 391 529 541 6647 8993 9197 12443 152881 156349 211531 286189 292681 3596027 4865213 4975577 6731663 82708621 84584809 114438271 154828249 1945450607 2632080233 44745363961