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2054738413 = 73131979307
BaseRepresentation
bin111101001111000…
…1101000111101101
312022012100112012201
41322132031013231
513202003112123
6535520101501
7101626663000
oct17236150755
95265315181
102054738413
11964934422
12494164891
13269901460
14156c67537
15c05c65ad
hex7a78d1ed

2054738413 has 64 divisors (see below), whose sum is σ = 2759680000. Its totient is φ = 1515713472.

The previous prime is 2054738381. The next prime is 2054738423. The reversal of 2054738413 is 3148374502.

It is a happy number.

It is not a de Polignac number, because 2054738413 - 25 = 2054738381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054738423) 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 63 ways as a sum of consecutive naturals, for example, 6692806 + ... + 6693112.

It is an arithmetic number, because the mean of its divisors is an integer number (43120000).

Almost surely, 22054738413 is an apocalyptic number.

It is an amenable number.

2054738413 is a deficient number, since it is larger than the sum of its proper divisors (704941587).

2054738413 is a wasteful number, since it uses less digits than its factorization.

2054738413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2054738413 is about 45329.2225060170. Note that the first 3 decimals coincide. The cubic root of 2054738413 is about 1271.3120985874.

The spelling of 2054738413 in words is "two billion, fifty-four million, seven hundred thirty-eight thousand, four hundred thirteen".

Divisors: 1 7 13 19 49 79 91 133 247 307 343 553 637 931 1027 1501 1729 2149 3871 3991 4459 5833 6517 7189 10507 12103 15043 19513 24253 27097 27937 40831 50323 73549 75829 84721 105301 136591 169771 195559 285817 315289 352261 460807 514843 530803 956137 1188397 1368913 2000719 2207023 3225649 3715621 5990491 6692959 8318779 15449161 22579543 26009347 41933437 108144127 158056801 293534059 2054738413