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385820835238839 = 3721113181110134769
BaseRepresentation
bin101011110111001101110100…
…1110101001101001110110111
31212121002010000101020021102110
41113232123221311031032313
5401032242032310120324
63444323351141142103
7144160430653023300
oct12756335165151667
91777063011207373
10385820835238839
11101a30774189170
12373327b50ba933
1313738996a22b40
146b3bb842bd7a7
152e91143010329
hex15ee6e9d4d3b7

385820835238839 has 96 divisors (see below), whose sum is σ = 703422440904960. Its totient is φ = 184906815206400.

The previous prime is 385820835238801. The next prime is 385820835238841. The reversal of 385820835238839 is 938832538028583.

It is not a de Polignac number, because 385820835238839 - 237 = 385683396285367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385820835238939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33001647 + ... + 43136415.

It is an arithmetic number, because the mean of its divisors is an integer number (7327317092760).

Almost surely, 2385820835238839 is an apocalyptic number.

385820835238839 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

385820835238839 is a deficient number, since it is larger than the sum of its proper divisors (317601605666121).

385820835238839 is a wasteful number, since it uses less digits than its factorization.

385820835238839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136621 (or 10136614 counting only the distinct ones).

The product of its (nonzero) digits is 2388787200, while the sum is 75.

The spelling of 385820835238839 in words is "three hundred eighty-five trillion, eight hundred twenty billion, eight hundred thirty-five million, two hundred thirty-eight thousand, eight hundred thirty-nine".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1811 1911 3003 5433 7007 12677 19921 21021 23543 38031 59763 70629 88739 139447 164801 258973 266217 418341 494403 776919 976129 1153607 1812811 2928387 3460821 5438433 10134769 12689677 30404307 38069031 70943383 111482459 131751997 212830149 334447377 395255991 496603681 780377213 922263979 1449271967 1489811043 2341131639 2766791937 4347815901 5462640491 6455847853 10144903769 16387921473 18354066659 19367543559 30434711307 55062199977 71014326383 128478466613 201894733249 213042979149 238602866567 385435399839 605684199747 715808599701 899349266291 1413263132743 1670220065969 2624631532237 2698047798873 4239789398229 5010660197907 7873894596711 9892841929201 11691540461783 18372420725659 29678525787603 35074621385349 55117262176977 128606945079613 385820835238839