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16813378688 = 277321572
BaseRepresentation
bin11111010100010011…
…11100110010000000
31121101202100010121012
433222021330302000
5233413211104223
611420213020052
71133436234521
oct175211746200
947352303535
1016813378688
117148794297
123312924628
13177c4417b2
14b56dc0848
15686111c78
hex3ea27cc80

16813378688 has 72 divisors (see below), whose sum is σ = 34178216355. Its totient is φ = 8238716928.

The previous prime is 16813378669. The next prime is 16813378723. The reversal of 16813378688 is 88687331861.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5995714624 + 10817664064 = 77432^2 + 104008^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=91688.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107091506 + ... + 107091662.

Almost surely, 216813378688 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 16813378688

16813378688 is an abundant number, since it is smaller than the sum of its proper divisors (17364837667).

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

16813378688 is an frugal number, since it uses more digits than its factorization.

16813378688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 232 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 59.

The spelling of 16813378688 in words is "sixteen billion, eight hundred thirteen million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 157 292 314 584 628 1168 1256 2336 2512 4672 5024 5329 9344 10048 10658 11461 20096 21316 22922 24649 42632 45844 49298 85264 91688 98596 170528 183376 197192 341056 366752 394384 682112 733504 788768 836653 1467008 1577536 1673306 1799377 3155072 3346612 3598754 6693224 7197508 13386448 14395016 26772896 28790032 53545792 57580064 107091584 115160128 131354521 230320256 262709042 525418084 1050836168 2101672336 4203344672 8406689344 16813378688