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1971715216 = 241726532
BaseRepresentation
bin111010110000101…
…1111110010010000
312002102010111210111
41311201133302100
513014224341331
6523352411104
766601205602
oct16541376220
95072114714
101971715216
11921a88909
124703a6a94
13255652cc3
14149c15172
15b8176db1
hex7585fc90

1971715216 has 45 divisors (see below), whose sum is σ = 4064358571. Its totient is φ = 926445056.

The previous prime is 1971715183. The next prime is 1971715271. The reversal of 1971715216 is 6125171791.

The square root of 1971715216 is 44404.

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 355216 + 1971360000 = 596^2 + 44400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3019146 + ... + 3019798.

Almost surely, 21971715216 is an apocalyptic number.

1971715216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1971715216 is the 44404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971715216

1971715216 is an abundant number, since it is smaller than the sum of its proper divisors (2092643355).

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

1971715216 is an frugal number, since it uses more digits than its factorization.

1971715216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 672 counting only the distinct ones).

The product of its digits is 26460, while the sum is 40.

The cubic root of 1971715216 is about 1253.9533960925.

The spelling of 1971715216 in words is "one billion, nine hundred seventy-one million, seven hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 653 1156 1306 2312 2612 4624 5224 10448 11101 22202 44404 88808 177616 188717 377434 426409 754868 852818 1509736 1705636 3019472 3411272 6822544 7248953 14497906 28995812 57991624 115983248 123232201 246464402 492928804 985857608 1971715216