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6768200432 = 247233771011
BaseRepresentation
bin1100100110110101…
…01000101011110000
3122110200120012120002
412103122220223300
5102330124403212
63035334005132
7326502516530
oct62332505360
918420505502
106768200432
112963522184
12138a7a67a8
1383b296836
14482c5b4c0
152992ccac2
hex1936a8af0

6768200432 has 80 divisors (see below), whose sum is σ = 16061210112. Its totient is φ = 2699516160.

The previous prime is 6768200431. The next prime is 6768200441. The reversal of 6768200432 is 2340028676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768200431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59807 + ... + 130817.

Almost surely, 26768200432 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 6768200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030605056).

6768200432 is an abundant number, since it is smaller than the sum of its proper divisors (9293009680).

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

6768200432 is a wasteful number, since it uses less digits than its factorization.

6768200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71086 (or 71080 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 6768200432 is about 82269.0733629594. The cubic root of 6768200432 is about 1891.5786509931.

The spelling of 6768200432 in words is "six billion, seven hundred sixty-eight million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 37 46 56 74 92 112 148 161 184 259 296 322 368 518 592 644 851 1036 1288 1702 2072 2576 3404 4144 5957 6808 11914 13616 23828 47656 71011 95312 142022 284044 497077 568088 994154 1136176 1633253 1988308 2627407 3266506 3976616 5254814 6533012 7953232 10509628 11432771 13066024 18391849 21019256 22865542 26132048 36783698 42038512 45731084 60430361 73567396 91462168 120860722 147134792 182924336 241721444 294269584 423012527 483442888 846025054 966885776 1692050108 3384100216 6768200432