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2902568916 = 2231321784191
BaseRepresentation
bin1010110100000001…
…1010111111010100
321111021200210000110
42231000122333110
521421024201131
61200004043020
7131633300022
oct25500327724
97437623013
102902568916
11125a473a95
12690093470
13373460100
141d76c3712
1511ec4a646
hexad01afd4

2902568916 has 72 divisors (see below), whose sum is σ = 7765196544. Its totient is φ = 840552960.

The previous prime is 2902568891. The next prime is 2902568959. The reversal of 2902568916 is 6198652092.

2902568916 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7620 + ... + 76571.

It is an arithmetic number, because the mean of its divisors is an integer number (107849952).

Almost surely, 22902568916 is an apocalyptic number.

2902568916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2902568916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882598272).

2902568916 is an abundant number, since it is smaller than the sum of its proper divisors (4862627628).

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

2902568916 is a wasteful number, since it uses less digits than its factorization.

2902568916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84241 (or 84226 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 2902568916 is about 53875.4945777763. The cubic root of 2902568916 is about 1426.4641016106.

The spelling of 2902568916 in words is "two billion, nine hundred two million, five hundred sixty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2652 2873 5746 8619 11492 17238 34476 84191 168382 252573 336764 505146 1010292 1094483 1431247 2188966 2862494 3283449 4293741 4377932 5724988 6566898 8587482 13133796 14228279 17174964 18606211 28456558 37212422 42684837 55818633 56913116 74424844 85369674 111637266 170739348 223274532 241880743 483761486 725642229 967522972 1451284458 2902568916