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2712676816 = 241947373509
BaseRepresentation
bin1010000110110000…
…0010100111010000
321000001101021000201
42201230002213100
521023421124231
61125102024544
7124136241523
oct24154024720
97001337021
102712676816
111172265273
12638578154
13343004815
141ba3b2bba
1510d23b161
hexa1b029d0

2712676816 has 80 divisors (see below), whose sum is σ = 5676422400. Its totient is φ = 1251777024.

The previous prime is 2712676777. The next prime is 2712676817. The reversal of 2712676816 is 6186762172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712676817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5329170 + ... + 5329678.

It is an arithmetic number, because the mean of its divisors is an integer number (70955280).

Almost surely, 22712676816 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 2712676816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838211200).

2712676816 is an abundant number, since it is smaller than the sum of its proper divisors (2963745584).

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

2712676816 is a wasteful number, since it uses less digits than its factorization.

2712676816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 2712676816 is about 52083.3641002576. The cubic root of 2712676816 is about 1394.6525285749.

The spelling of 2712676816 in words is "two billion, seven hundred twelve million, six hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 373 376 509 746 752 893 1018 1492 1786 2036 2984 3572 4072 5968 7087 7144 8144 9671 14174 14288 17531 19342 23923 28348 35062 38684 47846 56696 70124 77368 95692 113392 140248 154736 189857 191384 280496 333089 379714 382768 454537 666178 759428 909074 1332356 1518856 1818148 2664712 3037712 3607283 3636296 5329424 7214566 7272592 8923279 14429132 17846558 28858264 35693116 57716528 71386232 142772464 169542301 339084602 678169204 1356338408 2712676816