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54304564314 = 237111347192377
BaseRepresentation
bin110010100100110011…
…011110010001011010
312012011120121200202210
4302210303132101122
51342203432024224
640540331135550
73631501115640
oct624463362132
9165146550683
1054304564314
1121037568a20
12a6365a45b6
1351757c98c0
1428b22c5190
15162c72b429
hexca4cde45a

54304564314 has 128 divisors (see below), whose sum is σ = 148928274432. Its totient is φ = 12742986240.

The previous prime is 54304564291. The next prime is 54304564333. The reversal of 54304564314 is 41346540345.

54304564314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186094 + ... + 378470.

It is an arithmetic number, because the mean of its divisors is an integer number (1163502144).

Almost surely, 254304564314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54304564314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74464137216).

54304564314 is an abundant number, since it is smaller than the sum of its proper divisors (94623710118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54304564314 is a wasteful number, since it uses less digits than its factorization.

54304564314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192460.

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 54304564314 in words is "fifty-four billion, three hundred four million, five hundred sixty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 47 66 77 78 91 94 141 143 154 182 231 273 282 286 329 429 462 517 546 611 658 858 987 1001 1034 1222 1551 1833 1974 2002 3003 3102 3619 3666 4277 6006 6721 7238 8554 10857 12831 13442 20163 21714 25662 40326 47047 94094 141141 192377 282282 384754 577131 1154262 1346639 2116147 2500901 2693278 4039917 4232294 5001802 6348441 7502703 8079834 9041719 12696882 14813029 15005406 17506307 18083438 27125157 27509911 29626058 35012614 44439087 52518921 54250314 55019822 63292033 82529733 88878174 99458909 105037842 117542347 126584066 165059466 189876099 192569377 198917818 235084694 298376727 352627041 379752198 385138754 577708131 596753454 696212363 705254082 822796429 1155416262 1292965817 1392424726 1645592858 2088637089 2468389287 2585931634 3878897451 4177274178 4936778574 7757794902 9050760719 18101521438 27152282157 54304564314