Search a number
-
+
200053697793156 = 223217223260292
BaseRepresentation
bin101101011111001010100001…
…100101111100110010000100
3222020022221120011111120210100
4231133022201211330302010
5202210134433113340111
61545251222223324100
760065255061113364
oct5537124145746204
9866287504446710
10200053697793156
115881a32a0190a9
121a52b8b6750630
138781ca115bb9c
1437589174bc9a4
15181dcc83b1756
hexb5f2a197cc84

200053697793156 has 243 divisors, whose sum is σ = 561652255213231. Its totient is φ = 60023206814208.

The previous prime is 200053697793137. The next prime is 200053697793253. The reversal of 200053697793156 is 651397796350002.

The square root of 200053697793156 is 14144034.

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

200053697793156 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 536 + 9 + 7 + 7 + 93 + 1 + 5 + 6 = 666.

200053697793156 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 107451260856900 + 92602436936256 = 10365870^2 + 9623016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200053697793093 and 200053697793102.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33181900750 + ... + 33181906778.

Almost surely, 2200053697793156 is an apocalyptic number.

200053697793156 is the 14144034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200053697793156

200053697793156 is an abundant number, since it is smaller than the sum of its proper divisors (361598557420075).

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

200053697793156 is an equidigital number, since it uses as much as digits as its factorization.

200053697793156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 200053697793156 in words is "two hundred trillion, fifty-three billion, six hundred ninety-seven million, seven hundred ninety-three thousand, one hundred fifty-six".