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1098004292449 = 23229215712
BaseRepresentation
bin11111111101001100010…
…01111110001101100001
310212222010210210022122021
433332212021332031201
5120442203044324244
62200225522341441
7142220366331121
oct17764611761541
93788123708567
101098004292449
1139372a886409
121589734ba881
137c7064a492c
143b202408c81
151d86568a284
hexffa627e361

1098004292449 has 27 divisors (see below), whose sum is σ = 1189521206419. Its totient is φ = 1013403461840.

The previous prime is 1098004292383. The next prime is 1098004292453. The reversal of 1098004292449 is 9442924008901.

The square root of 1098004292449 is 1047857.

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

It can be written as a sum of positive squares in only one way, i.e., 575766816849 + 522237475600 = 758793^2 + 722660^2 .

It is a de Polignac number, because none of the positive numbers 2k-1098004292449 is a prime.

It is a super-2 number, since 2×10980042924492 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1098004292396 and 1098004292405.

It is not an unprimeable number, because it can be changed into a prime (1098004292249) 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, 698919834 + ... + 698921404.

Almost surely, 21098004292449 is an apocalyptic number.

1098004292449 is the 1047857-th square number.

1098004292449 is the 523929-th centered octagonal number.

It is an amenable number.

1098004292449 is a deficient number, since it is larger than the sum of its proper divisors (91516913970).

1098004292449 is an frugal number, since it uses more digits than its factorization.

1098004292449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 1098004292449 in words is "one trillion, ninety-eight billion, four million, two hundred ninety-two thousand, four hundred forty-nine".

Divisors: 1 23 29 529 667 841 1571 15341 19343 36133 45559 444889 831059 1047857 1321211 2468041 24100711 30387853 56764943 71573189 698920619 1305593689 1646183347 2075622481 37862216981 47739317063 1098004292449