Search a number
-
+
18685796416 = 267224412
BaseRepresentation
bin10001011001110000…
…101010000001000000
31210020020121210211221
4101121300222001000
5301232030441131
612330101244424
71231023435400
oct213160520100
953206553757
1018685796416
117a19710461
123755a03714
1319ba338991
14c93948800
157456c2411
hex459c2a040

18685796416 has 63 divisors (see below), whose sum is σ = 43151121597. Its totient is φ = 8004917760.

The previous prime is 18685796369. The next prime is 18685796429. The reversal of 18685796416 is 61469758681.

It is a happy number.

The square root of 18685796416 is 136696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1806590016 + 16879206400 = 42504^2 + 129920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7653756 + ... + 7656196.

Almost surely, 218685796416 is an apocalyptic number.

18685796416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18685796416 is the 136696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18685796416

18685796416 is an abundant number, since it is smaller than the sum of its proper divisors (24465325181).

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

18685796416 is an frugal number, since it uses more digits than its factorization.

18685796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 2450 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The spelling of 18685796416 in words is "eighteen billion, six hundred eighty-five million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2441 3136 4882 9764 17087 19528 34174 39056 68348 78112 119609 136696 156224 239218 273392 478436 546784 956872 1093568 1913744 3827488 5958481 7654976 11916962 23833924 41709367 47667848 83418734 95335696 166837468 190671392 291965569 333674936 381342784 583931138 667349872 1167862276 1334699744 2335724552 2669399488 4671449104 9342898208 18685796416