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2813842368 = 26331628381
BaseRepresentation
bin1010011110110111…
…1101001111000000
321021002202000002000
42213231331033000
521230320423433
61143114224000
7126505160031
oct24755751700
97232660060
102813842368
111214382467
12666425000
1335ac659ac
141c99c8a88
15117071113
hexa7b7d3c0

2813842368 has 56 divisors (see below), whose sum is σ = 8272180560. Its totient is φ = 937946880.

The previous prime is 2813842357. The next prime is 2813842387. The reversal of 2813842368 is 8632483182.

2813842368 is a `hidden beast` number, since 281 + 3 + 8 + 4 + 2 + 368 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812463 + ... + 815918.

It is an arithmetic number, because the mean of its divisors is an integer number (147717510).

Almost surely, 22813842368 is an apocalyptic number.

It is an amenable number.

2813842368 is an abundant number, since it is smaller than the sum of its proper divisors (5458338192).

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

2813842368 is a wasteful number, since it uses less digits than its factorization.

2813842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628402 (or 1628386 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2813842368 is about 53045.6630460964. The cubic root of 2813842368 is about 1411.7785794519.

The spelling of 2813842368 in words is "two billion, eight hundred thirteen million, eight hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1628381 3256762 4885143 6513524 9770286 13027048 14655429 19540572 26054096 29310858 39081144 43966287 52108192 58621716 78162288 87932574 104216384 117243432 156324576 175865148 234486864 312649152 351730296 468973728 703460592 937947456 1406921184 2813842368