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3197743668 = 22327411272437
BaseRepresentation
bin1011111010011001…
…1011001000110100
322020212010012122200
42332212123020310
523022110244133
61245150424500
7142146241560
oct27646331064
98225105580
103197743668
1113a1052169
12752b02130
133bc65b822
1422499c6a0
1513ab04913
hexbe99b234

3197743668 has 144 divisors (see below), whose sum is σ = 9541668864. Its totient is φ = 883975680.

The previous prime is 3197743663. The next prime is 3197743733. The reversal of 3197743668 is 8663477913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3197743663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310946 + ... + 1313382.

Almost surely, 23197743668 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 3197743668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770834432).

3197743668 is an abundant number, since it is smaller than the sum of its proper divisors (6343925196).

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

3197743668 is a wasteful number, since it uses less digits than its factorization.

3197743668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2617 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 3197743668 is about 56548.5956324293. The cubic root of 3197743668 is about 1473.2661680967.

The spelling of 3197743668 in words is "three billion, one hundred ninety-seven million, seven hundred forty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 127 164 246 252 254 287 369 381 492 508 574 738 762 861 889 1143 1148 1476 1524 1722 1778 2286 2437 2583 2667 3444 3556 4572 4874 5166 5207 5334 7311 8001 9748 10332 10414 10668 14622 15621 16002 17059 20828 21933 29244 31242 32004 34118 36449 43866 46863 51177 62484 68236 72898 87732 93726 99917 102354 109347 145796 153531 187452 199834 204708 218694 299751 307062 309499 328041 399668 437388 599502 614124 618998 656082 699419 899253 928497 1199004 1237996 1312164 1398838 1798506 1856994 2098257 2166493 2785491 2797676 3597012 3713988 4196514 4332986 5570982 6294771 6499479 8393028 8665972 11141964 12589542 12689459 12998958 19498437 25179084 25378918 25997916 38068377 38996874 50757836 76136754 77993748 88826213 114205131 152273508 177652426 228410262 266478639 355304852 456820524 532957278 799435917 1065914556 1598871834 3197743668