Search a number
-
+
197050761216 = 21832174
BaseRepresentation
bin1011011110000100100…
…1000000000000000000
3200211121210202211110100
42313201021000000000
511212024443324331
6230305053402400
720144046556131
oct2674111000000
9624553684410
10197050761216
1176629021481
1232233a99400
13157742cb67a
14977452dc88
1551d45aaae6
hex2de1240000

197050761216 has 285 divisors, whose sum is σ = 604834784671. Its totient is φ = 61819846656.

The previous prime is 197050761211. The next prime is 197050761221. The reversal of 197050761216 is 612167050791.

The square root of 197050761216 is 443904.

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

197050761216 is a `hidden beast` number, since 1 + 9 + 70 + 507 + 61 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (197050761211) and next prime (197050761221).

It can be written as a sum of positive squares in 2 ways, for example, as 61155311616 + 135895449600 = 247296^2 + 368640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197050761211) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11591221240 + ... + 11591221256.

Almost surely, 2197050761216 is an apocalyptic number.

197050761216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

197050761216 is the 443904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197050761216

197050761216 is an abundant number, since it is smaller than the sum of its proper divisors (407784023455).

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

197050761216 is an frugal number, since it uses more digits than its factorization.

197050761216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 197050761216 in words is "one hundred ninety-seven billion, fifty million, seven hundred sixty-one thousand, two hundred sixteen".