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14799999437328 = 2437319739145897
BaseRepresentation
bin1101011101011110010010…
…1101011000101000010000
31221101212101102000002220110
43113113210231120220100
53414440344323443303
651251005331241320
73055156532360130
oct327274455305020
957355342002813
1014799999437328
11479670a935666
1217b0409a49240
13834831a64481
143924766c8ac0
151a9eae12d703
hexd75e4b58a10

14799999437328 has 160 divisors (see below), whose sum is σ = 45109700730880. Its totient is φ = 4091717514240.

The previous prime is 14799999437273. The next prime is 14799999437329. The reversal of 14799999437328 is 82373499999741.

It is a happy number.

It is a Smith number, since the sum of its digits (84) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (14799999437329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101368476 + ... + 101514372.

It is an arithmetic number, because the mean of its divisors is an integer number (281935629568).

Almost surely, 214799999437328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14799999437328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22554850365440).

14799999437328 is an abundant number, since it is smaller than the sum of its proper divisors (30309701293552).

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

14799999437328 is a wasteful number, since it uses less digits than its factorization.

14799999437328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155685 (or 155679 counting only the distinct ones).

The product of its digits is 6666395904, while the sum is 84.

The spelling of 14799999437328 in words is "fourteen trillion, seven hundred ninety-nine billion, nine hundred ninety-nine million, four hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 9739 10416 19478 29217 38956 58434 68173 77912 116868 136346 145897 155824 204519 233736 272692 291794 301909 409038 437691 467472 545384 583588 603818 818076 875382 905727 1021279 1090768 1167176 1207636 1636152 1750764 1811454 2042558 2113363 2334352 2415272 3063837 3272304 3501528 3622908 4085116 4226726 4522807 4830544 6127674 6340089 7003056 7245816 8170232 8453452 9045614 12255348 12680178 13568421 14491632 16340464 16906904 18091228 24510696 25360356 27136842 31659649 33813808 36182456 49021392 50720712 54273684 63319298 72364912 94978947 101441424 108547368 126638596 189957894 217094736 253277192 379915788 506554384 759831576 1420890883 1519663152 2841781766 4262672649 5683563532 8525345298 9946236181 11367127064 17050690596 19892472362 22734254128 29838708543 34101381192 39784944724 44047617373 59677417086 68202762384 79569889448 88095234746 119354834172 132142852119 159139778896 176190469492 238709668344 264285704238 308333321611 352380938984 477419336688 528571408476 616666643222 704761877968 924999964833 1057142816952 1233333286444 1849999929666 2114285633904 2466666572888 3699999859332 4933333145776 7399999718664 14799999437328