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1971082568 = 2371313719763
BaseRepresentation
bin111010101111100…
…0101010101001000
312002100221100222002
41311133011111020
513014044120233
6523331050132
766562632260
oct16537052510
95070840862
101971082568
11921696564
12470140948
13255491060
14149acc7a0
15b809e6e8
hex757c5548

1971082568 has 64 divisors (see below), whose sum is σ = 4582085760. Its totient is φ = 774038016.

The previous prime is 1971082567. The next prime is 1971082601. The reversal of 1971082568 is 8652801791.

It is not an unprimeable number, because it can be changed into a prime (1971082567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89855 + ... + 109617.

It is an arithmetic number, because the mean of its divisors is an integer number (71595090).

Almost surely, 21971082568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971082568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291042880).

1971082568 is an abundant number, since it is smaller than the sum of its proper divisors (2611003192).

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

1971082568 is a wasteful number, since it uses less digits than its factorization.

1971082568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19926 (or 19922 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The square root of 1971082568 is about 44396.8756558387. The cubic root of 1971082568 is about 1253.8192665176.

The spelling of 1971082568 in words is "one billion, nine hundred seventy-one million, eighty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 137 182 274 364 548 728 959 1096 1781 1918 3562 3836 7124 7672 12467 14248 19763 24934 39526 49868 79052 99736 138341 158104 256919 276682 513838 553364 1027676 1106728 1798433 2055352 2707531 3596866 5415062 7193732 10830124 14387464 18952717 21660248 35197903 37905434 70395806 75810868 140791612 151621736 246385321 281583224 492770642 985541284 1971082568