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2897347656 = 233724160091
BaseRepresentation
bin1010110010110010…
…0000010001001000
321110220212111210110
42230230200101020
521413210111111
61155300114320
7131541022500
oct25454402110
97426774713
102897347656
1112575281a5
1268a3959a0
133723526c8
141d6b24a00
1511e5685a6
hexacb20448

2897347656 has 96 divisors (see below), whose sum is σ = 8631614880. Its totient is φ = 807609600.

The previous prime is 2897347627. The next prime is 2897347669. The reversal of 2897347656 is 6567437982.

It is a junction number, because it is equal to n+sod(n) for n = 2897347596 and 2897347605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18171 + ... + 78261.

It is an arithmetic number, because the mean of its divisors is an integer number (89912655).

Almost surely, 22897347656 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 2897347656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315807440).

2897347656 is an abundant number, since it is smaller than the sum of its proper divisors (5734267224).

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

2897347656 is a wasteful number, since it uses less digits than its factorization.

2897347656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60155 (or 60144 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 2897347656 is about 53827.0160421326. The cubic root of 2897347656 is about 1425.6082608565.

The spelling of 2897347656 in words is "two billion, eight hundred ninety-seven million, three hundred forty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 49 56 82 84 98 123 147 164 168 196 246 287 294 328 392 492 574 588 861 984 1148 1176 1722 2009 2296 3444 4018 6027 6888 8036 12054 16072 24108 48216 60091 120182 180273 240364 360546 420637 480728 721092 841274 1261911 1442184 1682548 2463731 2523822 2944459 3365096 4927462 5047644 5888918 7391193 8833377 9854924 10095288 11777836 14782386 17246117 17666754 19709848 23555672 29564772 34492234 35333508 51738351 59129544 68984468 70667016 103476702 120722819 137968936 206953404 241445638 362168457 413906808 482891276 724336914 965782552 1448673828 2897347656