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675656141656576 = 2910712333092539
BaseRepresentation
bin1001100110100000010111010…
…0010100000101001000000000
310021121022002121012220210000011
42121220011310110011020000
51202024422234231002301
610353000051345234304
7262213355023604413
oct23150056424051000
93247262535823004
10675656141656576
11186315184711703
126394282a932994
132300114050ac02
14bcbbd089b5b7a
15531a577db2a51
hex2668174505200

675656141656576 has 40 divisors (see below), whose sum is σ = 1362609396189360. Its totient is φ = 334670799111168.

The previous prime is 675656141656553. The next prime is 675656141656603.

675656141656576 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6756561416565763 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6166491486 + ... + 6166601053.

It is an arithmetic number, because the mean of its divisors is an integer number (34065234904734).

Almost surely, 2675656141656576 is an apocalyptic number.

It is an amenable number.

675656141656576 is an abundant number, since it is smaller than the sum of its proper divisors (686953254532784).

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

675656141656576 is a wasteful number, since it uses less digits than its factorization.

675656141656576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12333092664 (or 12333092648 counting only the distinct ones).

The product of its digits is 5715360000, while the sum is 76.

The spelling of 675656141656576 in words is "six hundred seventy-five trillion, six hundred fifty-six billion, one hundred forty-one million, six hundred fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1712 3424 6848 13696 27392 54784 12333092539 24666185078 49332370156 98664740312 197329480624 394658961248 789317922496 1319640901673 1578635844992 2639281803346 3157271689984 5278563606692 6314543379968 10557127213384 21114254426768 42228508853536 84457017707072 168914035414144 337828070828288 675656141656576