Search a number
-
+
293998190656 = 26677772
BaseRepresentation
bin1000100011100111010…
…10000110000001000000
31001002212020110112010011
410101303222012001000
514304102014100111
6343021053314304
730145356250042
oct4216352060100
91032766415104
10293998190656
11103758350095
1248b8b495994
132195457b431
141032ddc1a92
1579aa81a021
hex4473a86040

293998190656 has 21 divisors (see below), whose sum is σ = 583411267389. Its totient is φ = 146996926464.

The previous prime is 293998190623. The next prime is 293998190743. The reversal of 293998190656 is 656091899392.

The square root of 293998190656 is 542216.

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., 202320040000 + 91678150656 = 449800^2 + 302784^2 .

It is a super-2 number, since 2×2939981906562 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 293998190591 and 293998190600.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 4303840 + ... + 4371616.

Almost surely, 2293998190656 is an apocalyptic number.

293998190656 is the 542216-th square number.

It is an amenable number.

293998190656 is a deficient number, since it is larger than the sum of its proper divisors (289413076733).

293998190656 is an frugal number, since it uses more digits than its factorization.

293998190656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135566 (or 67779 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 67.

The spelling of 293998190656 in words is "two hundred ninety-three billion, nine hundred ninety-eight million, one hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67777 135554 271108 542216 1084432 2168864 4337728 4593721729 9187443458 18374886916 36749773832 73499547664 146999095328 293998190656