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6780355712 = 271323110111
BaseRepresentation
bin1100101000010010…
…00000010010000000
3122111112102202110122
412110021000102000
5102341232340322
63040450315412
7330011033624
oct62411002200
918445382418
106780355712
11296a374669
121392888b68
13840961400
14484703184
1529a3ce442
hex194240480

6780355712 has 96 divisors (see below), whose sum is σ = 15100047360. Its totient is φ = 3028147200.

The previous prime is 6780355609. The next prime is 6780355717. The reversal of 6780355712 is 2175530876.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6780355717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665537 + ... + 675647.

It is an arithmetic number, because the mean of its divisors is an integer number (157292160).

Almost surely, 26780355712 is an apocalyptic number.

6780355712 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6780355712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550023680).

6780355712 is an abundant number, since it is smaller than the sum of its proper divisors (8319691648).

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

6780355712 is a wasteful number, since it uses less digits than its factorization.

6780355712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The square root of 6780355712 is about 82342.9153722407. The cubic root of 6780355712 is about 1892.7103608477.

The spelling of 6780355712 in words is "six billion, seven hundred eighty million, three hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 338 403 416 496 676 806 832 992 1352 1612 1664 1984 2704 3224 3968 5239 5408 6448 10111 10478 10816 12896 20222 20956 21632 25792 40444 41912 51584 80888 83824 131443 161776 167648 262886 313441 323552 335296 525772 626882 647104 670592 1051544 1253764 1294208 1708759 2103088 2507528 3417518 4074733 4206176 5015056 6835036 8149466 8412352 10030112 13670072 16298932 16824704 20060224 27340144 32597864 40120448 52971529 54680288 65195728 105943058 109360576 130391456 211886116 218721152 260782912 423772232 521565824 847544464 1695088928 3390177856 6780355712