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2942743076 = 22713312511039
BaseRepresentation
bin1010111101100110…
…1011001000100100
321121002021211121022
42233121223020210
522011320234301
61204001110312
7132631621610
oct25731531044
97532254538
102942743076
111280113479
126a1628398
1337b887cc0
141dcb80340
15123533d1b
hexaf66b224

2942743076 has 96 divisors (see below), whose sum is σ = 6575063040. Its totient is φ = 1121040000.

The previous prime is 2942743057. The next prime is 2942743093. The reversal of 2942743076 is 6703472492.

2942743076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29427430762 = 17319473622691883552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2831765 + ... + 2832803.

It is an arithmetic number, because the mean of its divisors is an integer number (68490240).

Almost surely, 22942743076 is an apocalyptic number.

2942743076 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 2942743076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287531520).

2942743076 is an abundant number, since it is smaller than the sum of its proper divisors (3632319964).

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

2942743076 is a wasteful number, since it uses less digits than its factorization.

2942743076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The square root of 2942743076 is about 54247.0559201142. The cubic root of 2942743076 is about 1433.0151511262.

The spelling of 2942743076 in words is "two billion, nine hundred forty-two million, seven hundred forty-three thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 251 364 403 434 502 806 868 1004 1039 1612 1757 2078 2821 3263 3514 4156 5642 6526 7028 7273 7781 11284 13052 13507 14546 15562 22841 27014 29092 31124 32209 45682 54028 54467 64418 91364 94549 101153 108934 128836 189098 202306 217868 225463 260789 378196 404612 418717 450926 521578 708071 837434 901852 1043156 1416142 1674868 1825523 2832284 2931019 3390257 3651046 5862038 6780514 7302092 8084459 11724076 13561028 16168918 23731799 32337836 47463598 56591213 94927196 105097967 113182426 210195934 226364852 420391868 735685769 1471371538 2942743076