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11316491641 = 741321672
BaseRepresentation
bin10101000101000001…
…11111010101111001
31002012122222100011001
422202200333111321
5141134010213031
65110531405001
7550301410000
oct124240772571
932178870131
1011316491641
114887956734
122239a53761
1310b467aa00
14794d37c37
15463759861
hex2a283f579

11316491641 has 45 divisors (see below), whose sum is σ = 14381541231. Its totient is φ = 8900092656.

The previous prime is 11316491629. The next prime is 11316491657. The reversal of 11316491641 is 14619461311.

11316491641 = T11558 + T11559 + ... + T11724.

The square root of 11316491641 is 106379.

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., 1674037225 + 9642454416 = 40915^2 + 98196^2 .

It is not a de Polignac number, because 11316491641 - 233 = 2726557049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11316491641.

It is not an unprimeable number, because it can be changed into a prime (11316191641) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67763340 + ... + 67763506.

Almost surely, 211316491641 is an apocalyptic number.

11316491641 is the 106379-th square number.

11316491641 is the 53190-th centered octagonal number.

It is an amenable number.

11316491641 is a deficient number, since it is larger than the sum of its proper divisors (3065049590).

11316491641 is an frugal number, since it uses more digits than its factorization.

11316491641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 187 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The spelling of 11316491641 in words is "eleven billion, three hundred sixteen million, four hundred ninety-one thousand, six hundred forty-one".

Divisors: 1 7 13 49 91 167 169 343 637 1169 1183 2171 2401 4459 8183 8281 15197 27889 28223 31213 57281 57967 106379 195223 197561 362557 400967 405769 744653 1366561 1382927 2537899 4713241 5212571 9565927 9680489 17765293 32992687 66961489 67763423 124357051 230948809 870499357 1616641663 11316491641