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385537063464 = 233272176428189
BaseRepresentation
bin1011001110000111100…
…11001011101000101000
31100212010202000001212200
411213003303023220220
522304034442012324
6453040245140200
736565652653200
oct5470363135050
91325122001780
10385537063464
11139561692093
12628776ba660
132a482153427
1414935421400
15a066d1dec9
hex59c3ccba28

385537063464 has 144 divisors (see below), whose sum is σ = 1286087973300. Its totient is φ = 103673816064.

The previous prime is 385537063459. The next prime is 385537063511. The reversal of 385537063464 is 464360735583.

385537063464 is a `hidden beast` number, since 3 + 8 + 5 + 53 + 70 + 63 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 297886724100 + 87650339364 = 545790^2 + 296058^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 385537063464.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3154119 + ... + 3274070.

Almost surely, 2385537063464 is an apocalyptic number.

385537063464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

385537063464 is an abundant number, since it is smaller than the sum of its proper divisors (900550909836).

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

385537063464 is a wasteful number, since it uses less digits than its factorization.

385537063464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428232 (or 6428218 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

It can be divided in two parts, 38553 and 7063464, that added together give a palindrome (7102017).

The spelling of 385537063464 in words is "three hundred eighty-five billion, five hundred thirty-seven million, sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 6428189 12856378 19284567 25712756 38569134 44997323 51425512 57853701 77138268 89994646 109279213 115707402 134991969 154276536 179989292 218558426 231414804 269983938 314981261 327837639 359978584 404975907 437116852 462829608 539967876 629962522 655675278 764954491 809951814 874233704 944943783 983512917 1079935752 1259925044 1311350556 1529908982 1619903628 1889887566 1967025834 2294863473 2519850088 2622701112 2834831349 3059817964 3239807256 3779775132 3934051668 4589726946 5354681437 5669662698 6119635928 6884590419 7559550264 7868103336 9179453892 10709362874 11339325396 13769180838 16064044311 18358907784 21418725748 22678650792 27538361676 32128088622 42837451496 48192132933 55076723352 64256177244 96384265866 128512354488 192768531732 385537063464