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6042656796 = 223111071732473
BaseRepresentation
bin1011010000010101…
…11010000000011100
3120121010022202210120
411220022322000130
544333410004141
62435335034540
7302512510131
oct55012720034
916533282716
106042656796
112620a16540
12120780ba50
13753b82987
14414754588
15255761c66
hex1682ba01c

6042656796 has 96 divisors (see below), whose sum is σ = 15621113088. Its totient is φ = 1802780160.

The previous prime is 6042656779. The next prime is 6042656797. The reversal of 6042656796 is 6976562406.

It is a happy number.

It is a super-3 number, since 3×60426567963 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042656797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2442216 + ... + 2444688.

It is an arithmetic number, because the mean of its divisors is an integer number (162719928).

Almost surely, 26042656796 is an apocalyptic number.

6042656796 is a gapful number since it is divisible by the number (66) 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 6042656796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810556544).

6042656796 is an abundant number, since it is smaller than the sum of its proper divisors (9578456292).

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

6042656796 is a wasteful number, since it uses less digits than its factorization.

6042656796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 6042656796 is about 77734.5276952269. The cubic root of 6042656796 is about 1821.4166802550.

The spelling of 6042656796 in words is "six billion, forty-two million, six hundred fifty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 173 214 321 346 428 519 642 692 1038 1177 1284 1903 2076 2354 2473 3531 3806 4708 4946 5709 7062 7419 7612 9892 11418 14124 14838 18511 22836 27203 29676 37022 54406 55533 74044 81609 108812 111066 163218 203621 222132 264611 326436 407242 427829 529222 610863 793833 814484 855658 1058444 1221726 1283487 1587666 1711316 2443452 2566974 2910721 3175332 4706119 5133948 5821442 8732163 9412238 11642884 14118357 17464326 18824476 28236714 34928652 45777703 56473428 91555406 137333109 183110812 274666218 503554733 549332436 1007109466 1510664199 2014218932 3021328398 6042656796