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2968433664 = 21037138041
BaseRepresentation
bin1011000011101110…
…1011010000000000
321122212122001110120
42300323223100000
522034404334124
61210315500240
7133363161360
oct26073532000
97585561416
102968433664
111293670169
126aa157680
13383cb1631
1420234a9a0
1512590ad79
hexb0eeb400

2968433664 has 88 divisors (see below), whose sum is σ = 9042303168. Its totient is φ = 848117760.

The previous prime is 2968433653. The next prime is 2968433683. The reversal of 2968433664 is 4663348692.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47517 + ... + 90524.

Almost surely, 22968433664 is an apocalyptic number.

2968433664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2968433664 is an abundant number, since it is smaller than the sum of its proper divisors (6073869504).

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

2968433664 is a wasteful number, since it uses less digits than its factorization.

2968433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138071 (or 138053 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The square root of 2968433664 is about 54483.3338187009. Note that the first 3 decimals coincide. The cubic root of 2968433664 is about 1437.1732199761.

The spelling of 2968433664 in words is "two billion, nine hundred sixty-eight million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 138041 276082 414123 552164 828246 966287 1104328 1656492 1932574 2208656 2898861 3312984 3865148 4417312 5797722 6625968 7730296 8834624 11595444 13251936 15460592 17669248 23190888 26503872 30921184 35338496 46381776 53007744 61842368 70676992 92763552 106015488 123684736 141353984 185527104 212030976 247369472 371054208 424061952 494738944 742108416 989477888 1484216832 2968433664