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2797138818 = 234413531193
BaseRepresentation
bin1010011010111000…
…1111001110000010
321012221022101010000
42212232033032002
521212031420233
61141320220430
7126213200445
oct24656171602
97187271100
102797138818
111205a03881
1266090a716
13357667b36
141c76bb65c
15115871d13
hexa6b8f382

2797138818 has 80 divisors (see below), whose sum is σ = 6444118296. Its totient is φ = 906301440.

The previous prime is 2797138811. The next prime is 2797138819. The reversal of 2797138818 is 8188317972.

It is a happy number.

2797138818 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1594644489 + 1202494329 = 39933^2 + 34677^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2797138811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2344030 + ... + 2345222.

Almost surely, 22797138818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2797138818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222059148).

2797138818 is an abundant number, since it is smaller than the sum of its proper divisors (3646979478).

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

2797138818 is a wasteful number, since it uses less digits than its factorization.

2797138818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 2797138818 is about 52887.9836824963. The cubic root of 2797138818 is about 1408.9794969785.

The spelling of 2797138818 in words is "two billion, seven hundred ninety-seven million, one hundred thirty-eight thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 353 369 706 738 1059 1107 1193 2118 2214 2386 3177 3321 3579 6354 6642 7158 9531 10737 14473 19062 21474 28593 28946 32211 43419 48913 57186 64422 86838 96633 97826 130257 146739 193266 260514 293478 390771 421129 440217 781542 842258 880434 1172313 1263387 1320651 2344626 2526774 2641302 3790161 3961953 7580322 7923906 11370483 17266289 22740966 34111449 34532578 51798867 68222898 103597734 155396601 310793202 466189803 932379606 1398569409 2797138818