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15994407961 = 74292892
BaseRepresentation
bin11101110010101011…
…10100110000011001
31112021200022002222001
432321111310300121
5230224032023321
611203035401001
71104233140000
oct167125646031
945250262861
1015994407961
116868476484
1231245b3161
13167b878b2c
14aba317c37
1563928dc91
hex3b9574c19

15994407961 has 45 divisors (see below), whose sum is σ = 19544204381. Its totient is φ = 13088023872.

The previous prime is 15994407953. The next prime is 15994407971. The reversal of 15994407961 is 16970449951.

The square root of 15994407961 is 126469.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1464516361 + 14529891600 = 38269^2 + 120540^2 .

It is not a de Polignac number, because 15994407961 - 23 = 15994407953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15994407941) 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, 179712405 + ... + 179712493.

Almost surely, 215994407961 is an apocalyptic number.

15994407961 is the 126469-th square number.

15994407961 is the 63235-th centered octagonal number.

It is an amenable number.

15994407961 is a deficient number, since it is larger than the sum of its proper divisors (3549796420).

15994407961 is an frugal number, since it uses more digits than its factorization.

15994407961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 15994407961 in words is "fifteen billion, nine hundred ninety-four million, four hundred seven thousand, nine hundred sixty-one".

Divisors: 1 7 29 49 89 203 343 623 841 1421 2401 2581 4361 5887 7921 9947 18067 30527 41209 55447 69629 74849 126469 213689 229709 288463 388129 523943 885283 1607963 2019241 2716903 3667601 6196981 6661561 11255741 19018321 25673207 46630927 78790187 179712449 326416489 551531309 2284915423 15994407961