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50301966961 = 1727921672
BaseRepresentation
bin101110110110001110…
…110001101001110001
311210211122000200102101
4232312032301221301
51311004300420321
635035225420401
73430346443621
oct566616615161
9153748020371
1050301966961
111a373170324
1298ba03a701
1349884a8bbc
142612896881
151496141791
hexbb63b1a71

50301966961 has 27 divisors (see below), whose sum is σ = 54445927179. Its totient is φ = 46463846208.

The previous prime is 50301966937. The next prime is 50301966971. The reversal of 50301966961 is 16966910305.

The square root of 50301966961 is 224281.

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., 39162431025 + 11139535936 = 197895^2 + 105544^2 .

It is a de Polignac number, because none of the positive numbers 2k-50301966961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50301966901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 301209300 + ... + 301209466.

Almost surely, 250301966961 is an apocalyptic number.

50301966961 is the 224281-st square number.

50301966961 is the 112141-st centered octagonal number.

It is an amenable number.

50301966961 is a deficient number, since it is larger than the sum of its proper divisors (4143960218).

50301966961 is an frugal number, since it uses more digits than its factorization.

50301966961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 50301966961 in words is "fifty billion, three hundred one million, nine hundred sixty-six thousand, nine hundred sixty-one".

Divisors: 1 17 79 167 289 1343 2839 6241 13193 22831 27889 48263 106097 224281 474113 1042247 1803649 2203231 3812777 8059921 17718199 37454927 174055249 301209383 636733759 2958939233 50301966961