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6801414912 = 28332713631
BaseRepresentation
bin1100101010110010…
…10101101100000000
3122120000001200021000
412111121111230000
5102412130234122
63042521532000
7330355033665
oct62531255400
918500050230
106801414912
112980248766
121399944000
13845125986
14487425a6c
1529c18e0ac
hex195655b00

6801414912 has 144 divisors (see below), whose sum is σ = 20192757760. Its totient is φ = 2258150400.

The previous prime is 6801414889. The next prime is 6801414943. The reversal of 6801414912 is 2194141086.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871337 + ... + 1874967.

Almost surely, 26801414912 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 6801414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096378880).

6801414912 is an abundant number, since it is smaller than the sum of its proper divisors (13391342848).

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

6801414912 is a wasteful number, since it uses less digits than its factorization.

6801414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6801414912 is about 82470.6912302789. The cubic root of 6801414912 is about 1894.6678673371.

Adding to 6801414912 its reverse (2194141086), we get a palindrome (8995555998).

The spelling of 6801414912 in words is "six billion, eight hundred one million, four hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 271 288 384 432 542 576 768 813 864 1084 1152 1626 1728 2168 2304 2439 3252 3456 3631 4336 4878 6504 6912 7262 7317 8672 9756 10893 13008 14524 14634 17344 19512 21786 26016 29048 29268 32679 34688 39024 43572 52032 58096 58536 65358 69376 78048 87144 98037 104064 116192 117072 130716 156096 174288 196074 208128 232384 234144 261432 312192 348576 392148 464768 468288 522864 624384 697152 784296 929536 936576 984001 1045728 1394304 1568592 1873152 1968002 2091456 2788608 2952003 3137184 3936004 4182912 5904006 6274368 7872008 8365824 8856009 11808012 12548736 15744016 17712018 23616024 25097472 26568027 31488032 35424036 47232048 53136054 62976064 70848072 94464096 106272108 125952128 141696144 188928192 212544216 251904256 283392288 377856384 425088432 566784576 755712768 850176864 1133569152 1700353728 2267138304 3400707456 6801414912