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14648502961 = 12729532
BaseRepresentation
bin11011010010001111…
…00110101010110001
31101210212202001101201
431221013212222301
5220000004043321
610421320131201
71026001135501
oct155107465261
941725661351
1014648502961
1162377750a4
122a09906b01
1314c5a8a641
149cd687a01
155ab032291
hex3691e6ab1

14648502961 has 9 divisors (see below), whose sum is σ = 14780262891. Its totient is φ = 14517910512.

The previous prime is 14648502929. The next prime is 14648502989. The reversal of 14648502961 is 16920584641.

It is a happy number.

The square root of 14648502961 is 121031.

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., 6100391025 + 8548111936 = 78105^2 + 92456^2 .

It is not a de Polignac number, because 14648502961 - 25 = 14648502929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14648502461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15370461 + ... + 15371413.

Almost surely, 214648502961 is an apocalyptic number.

14648502961 is the 121031-st square number.

14648502961 is the 60516-th centered octagonal number.

It is an amenable number.

14648502961 is a deficient number, since it is larger than the sum of its proper divisors (131759930).

14648502961 is an frugal number, since it uses more digits than its factorization.

14648502961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 14648502961 in words is "fourteen billion, six hundred forty-eight million, five hundred two thousand, nine hundred sixty-one".

Divisors: 1 127 953 16129 121031 908209 15370937 115342543 14648502961