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2681347716 = 223219310859
BaseRepresentation
bin1001111111010010…
…0001111010000100
320220212102120120200
42133310201322010
520442411111331
61122022330500
7123306036165
oct23764417204
96825376520
102681347716
111156607253
12629b89a30
133396858a8
141b617976c
1510a5ed5e6
hex9fd21e84

2681347716 has 72 divisors (see below), whose sum is σ = 7155002400. Its totient is φ = 846663408.

The previous prime is 2681347703. The next prime is 2681347771. The reversal of 2681347716 is 6177431862.

2681347716 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241495 + ... + 252353.

Almost surely, 22681347716 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 2681347716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577501200).

2681347716 is an abundant number, since it is smaller than the sum of its proper divisors (4473654684).

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

2681347716 is a wasteful number, since it uses less digits than its factorization.

2681347716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 10883 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2681347716 is about 51781.7314890107. The cubic root of 2681347716 is about 1389.2627106270.

It can be divided in two parts, 26813 and 47716, that added together give a square (74529 = 2732).

The spelling of 2681347716 in words is "two billion, six hundred eighty-one million, three hundred forty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 6859 10859 12996 13718 20577 21718 27436 32577 41154 43436 61731 65154 82308 97731 123462 130308 195462 206321 246924 390924 412642 618963 825284 1237926 1856889 2475852 3713778 3920099 7427556 7840198 11760297 15680396 23520594 35280891 47041188 70561782 74481881 141123564 148963762 223445643 297927524 446891286 670336929 893782572 1340673858 2681347716