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2049744846249 = 3427125872
BaseRepresentation
bin11101110100111110010…
…100000011110110101001
321020221202020112212110000
4131310332110003312221
5232040334140034444
64205350105413213
7301042405502232
oct35647624036651
97227666485400
102049744846249
11720323590071
1229130749a209
1311b3a04a8939
14712cb362089
15384ba271469
hex1dd3e503da9

2049744846249 has 45 divisors (see below), whose sum is σ = 3078549510861. Its totient is φ = 1359134798760.

The previous prime is 2049744846229. The next prime is 2049744846277. The reversal of 2049744846249 is 9426484479402.

The square root of 2049744846249 is 1431693.

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

2049744846249 is a `hidden beast` number, since 2 + 0 + 4 + 97 + 4 + 48 + 462 + 49 = 666.

It is not a de Polignac number, because 2049744846249 - 221 = 2049742749097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2049744846229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3491898934 + ... + 3491899520.

Almost surely, 22049744846249 is an apocalyptic number.

2049744846249 is the 1431693-rd square number.

2049744846249 is the 715847-th centered octagonal number.

It is an amenable number.

2049744846249 is a deficient number, since it is larger than the sum of its proper divisors (1028804664612).

2049744846249 is an frugal number, since it uses more digits than its factorization.

2049744846249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 2049744846249 in words is "two trillion, forty-nine billion, seven hundred forty-four million, eight hundred forty-six thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 271 587 813 1761 2439 5283 7317 15849 21951 47547 73441 159077 220323 344569 477231 660969 1033707 1431693 1982907 3101121 4295079 5948721 9303363 12885237 27910089 43109867 93378199 129329601 280134597 387988803 840403791 1163966409 2521211373 3491899227 7563634119 25305491929 75916475787 227749427361 683248282083 2049744846249