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6804410144 = 2571571911013
BaseRepresentation
bin1100101011001001…
…10000111100100000
3122120012200211221112
412111210300330200
5102413412111034
63043110042452
7330422350310
oct62544607440
918505624845
106804410144
112981a04064
12139a949428
138459340bc
144879a5440
1529c5817ce
hex195930f20

6804410144 has 96 divisors (see below), whose sum is σ = 15503394816. Its totient is φ = 2879585280.

The previous prime is 6804410117. The next prime is 6804410153. The reversal of 6804410144 is 4410144086.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6804410144.

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, 6716582 + ... + 6717594.

It is an arithmetic number, because the mean of its divisors is an integer number (161493696).

Almost surely, 26804410144 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 6804410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751697408).

6804410144 is an abundant number, since it is smaller than the sum of its proper divisors (8698984672).

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

6804410144 is a wasteful number, since it uses less digits than its factorization.

6804410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 6804410144 is about 82488.8486039174. The cubic root of 6804410144 is about 1894.9459534436.

The spelling of 6804410144 in words is "six billion, eight hundred four million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 191 224 314 382 628 764 1013 1099 1256 1337 1528 2026 2198 2512 2674 3056 4052 4396 5024 5348 6112 7091 8104 8792 10696 14182 16208 17584 21392 28364 29987 32416 35168 42784 56728 59974 113456 119948 159041 193483 209909 226912 239896 318082 386966 419818 479792 636164 773932 839636 959584 1113287 1272328 1354381 1547864 1679272 2226574 2544656 2708762 3095728 3358544 4453148 5089312 5417524 6191456 6717088 8906296 10835048 17812592 21670096 30376831 35625184 43340192 60753662 121507324 212637817 243014648 425275634 486029296 850551268 972058592 1701102536 3402205072 6804410144